Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory Article Swipe
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2310.11336
In this paper, we establish a unified parameterized framework for analyzing the polarization modes of gravitational waves in the general metric theory (gravity is only described by the metric) and the general scalar-tensor theory (gravity is described by the metric and an additional scalar field). Specifically, we study the polarization modes of gravitational waves in the most general metric theory and general scalar-tensor theory that satisfy the following conditions: (1) Spacetime is four-dimensional; (2) The theory satisfies the principle of least action; (3) The theory is generally covariant; (4) The action describing a free particle is $\int ds$. We find that the polarization modes of gravitational waves in the theory satisfying the above conditions depends on the selection of parameters in the framework, and the theory allows for up to all six polarization modes. Once we have established our framework, the analysis of the polarization modes of gravitational waves in specific theories will depend on determining the corresponding parameters within our framework. In our analysis, we also find that the polarization modes of gravitational waves in the general metric theory and the general scalar-tensor theory that satisfy the conditions also have some interesting universal properties.
Related Topics
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2310.11336
- https://arxiv.org/pdf/2310.11336
- OA Status
- green
- References
- 55
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4387800025
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4387800025Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2310.11336Digital Object Identifier
- Title
-
Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theoryWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-10-17Full publication date if available
- Authors
-
Yu-Qi Dong, Yuqiang Liu, Yu-Xiao LiuList of authors in order
- Landing page
-
https://arxiv.org/abs/2310.11336Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2310.11336Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2310.11336Direct OA link when available
- Concepts
-
Physics, Scalar–tensor theory, Gravitational wave, Gravitation, General relativity, Linearized gravity, Parameterized post-Newtonian formalism, Classical mechanics, Polarization (electrochemistry), Classical field theory, Theoretical physics, Quantum mechanics, Physical chemistry, ChemistryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
-
55Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4387800025 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.2310.11336 |
| ids.doi | https://doi.org/10.48550/arxiv.2310.11336 |
| ids.openalex | https://openalex.org/W4387800025 |
| fwci | 0.0 |
| type | preprint |
| title | Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T10095 |
| topics[0].field.id | https://openalex.org/fields/31 |
| topics[0].field.display_name | Physics and Astronomy |
| topics[0].score | 0.9984999895095825 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/3103 |
| topics[0].subfield.display_name | Astronomy and Astrophysics |
| topics[0].display_name | Cosmology and Gravitation Theories |
| topics[1].id | https://openalex.org/T11405 |
| topics[1].field.id | https://openalex.org/fields/19 |
| topics[1].field.display_name | Earth and Planetary Sciences |
| topics[1].score | 0.996999979019165 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/1910 |
| topics[1].subfield.display_name | Oceanography |
| topics[1].display_name | Geophysics and Gravity Measurements |
| topics[2].id | https://openalex.org/T10463 |
| topics[2].field.id | https://openalex.org/fields/31 |
| topics[2].field.display_name | Physics and Astronomy |
| topics[2].score | 0.996399998664856 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/3103 |
| topics[2].subfield.display_name | Astronomy and Astrophysics |
| topics[2].display_name | Pulsars and Gravitational Waves Research |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C121332964 |
| concepts[0].level | 0 |
| concepts[0].score | 0.6779926419258118 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[0].display_name | Physics |
| concepts[1].id | https://openalex.org/C2775929544 |
| concepts[1].level | 3 |
| concepts[1].score | 0.5956280827522278 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q687027 |
| concepts[1].display_name | Scalar–tensor theory |
| concepts[2].id | https://openalex.org/C190330329 |
| concepts[2].level | 2 |
| concepts[2].score | 0.5703336596488953 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q190035 |
| concepts[2].display_name | Gravitational wave |
| concepts[3].id | https://openalex.org/C124017977 |
| concepts[3].level | 2 |
| concepts[3].score | 0.48995938897132874 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q11412 |
| concepts[3].display_name | Gravitation |
| concepts[4].id | https://openalex.org/C147452769 |
| concepts[4].level | 2 |
| concepts[4].score | 0.484466552734375 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q11452 |
| concepts[4].display_name | General relativity |
| concepts[5].id | https://openalex.org/C134328617 |
| concepts[5].level | 3 |
| concepts[5].score | 0.48440152406692505 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q546984 |
| concepts[5].display_name | Linearized gravity |
| concepts[6].id | https://openalex.org/C30381742 |
| concepts[6].level | 4 |
| concepts[6].score | 0.4729048013687134 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q2621284 |
| concepts[6].display_name | Parameterized post-Newtonian formalism |
| concepts[7].id | https://openalex.org/C74650414 |
| concepts[7].level | 1 |
| concepts[7].score | 0.46836745738983154 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q11397 |
| concepts[7].display_name | Classical mechanics |
| concepts[8].id | https://openalex.org/C205049153 |
| concepts[8].level | 2 |
| concepts[8].score | 0.4415697753429413 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q2698605 |
| concepts[8].display_name | Polarization (electrochemistry) |
| concepts[9].id | https://openalex.org/C27877202 |
| concepts[9].level | 3 |
| concepts[9].score | 0.3774149715900421 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q2603912 |
| concepts[9].display_name | Classical field theory |
| concepts[10].id | https://openalex.org/C33332235 |
| concepts[10].level | 1 |
| concepts[10].score | 0.3351304531097412 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q18362 |
| concepts[10].display_name | Theoretical physics |
| concepts[11].id | https://openalex.org/C62520636 |
| concepts[11].level | 1 |
| concepts[11].score | 0.18912971019744873 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q944 |
| concepts[11].display_name | Quantum mechanics |
| concepts[12].id | https://openalex.org/C147789679 |
| concepts[12].level | 1 |
| concepts[12].score | 0.0 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q11372 |
| concepts[12].display_name | Physical chemistry |
| concepts[13].id | https://openalex.org/C185592680 |
| concepts[13].level | 0 |
| concepts[13].score | 0.0 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q2329 |
| concepts[13].display_name | Chemistry |
| keywords[0].id | https://openalex.org/keywords/physics |
| keywords[0].score | 0.6779926419258118 |
| keywords[0].display_name | Physics |
| keywords[1].id | https://openalex.org/keywords/scalar–tensor-theory |
| keywords[1].score | 0.5956280827522278 |
| keywords[1].display_name | Scalar–tensor theory |
| keywords[2].id | https://openalex.org/keywords/gravitational-wave |
| keywords[2].score | 0.5703336596488953 |
| keywords[2].display_name | Gravitational wave |
| keywords[3].id | https://openalex.org/keywords/gravitation |
| keywords[3].score | 0.48995938897132874 |
| keywords[3].display_name | Gravitation |
| keywords[4].id | https://openalex.org/keywords/general-relativity |
| keywords[4].score | 0.484466552734375 |
| keywords[4].display_name | General relativity |
| keywords[5].id | https://openalex.org/keywords/linearized-gravity |
| keywords[5].score | 0.48440152406692505 |
| keywords[5].display_name | Linearized gravity |
| keywords[6].id | https://openalex.org/keywords/parameterized-post-newtonian-formalism |
| keywords[6].score | 0.4729048013687134 |
| keywords[6].display_name | Parameterized post-Newtonian formalism |
| keywords[7].id | https://openalex.org/keywords/classical-mechanics |
| keywords[7].score | 0.46836745738983154 |
| keywords[7].display_name | Classical mechanics |
| keywords[8].id | https://openalex.org/keywords/polarization |
| keywords[8].score | 0.4415697753429413 |
| keywords[8].display_name | Polarization (electrochemistry) |
| keywords[9].id | https://openalex.org/keywords/classical-field-theory |
| keywords[9].score | 0.3774149715900421 |
| keywords[9].display_name | Classical field theory |
| keywords[10].id | https://openalex.org/keywords/theoretical-physics |
| keywords[10].score | 0.3351304531097412 |
| keywords[10].display_name | Theoretical physics |
| keywords[11].id | https://openalex.org/keywords/quantum-mechanics |
| keywords[11].score | 0.18912971019744873 |
| keywords[11].display_name | Quantum mechanics |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2310.11336 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | https://arxiv.org/pdf/2310.11336 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2310.11336 |
| locations[1].id | doi:10.48550/arxiv.2310.11336 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | article-journal |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://doi.org/10.48550/arxiv.2310.11336 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5012381513 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-3252-2730 |
| authorships[0].author.display_name | Yu-Qi Dong |
| authorships[0].countries | CN |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I4210125404, https://openalex.org/I76214153 |
| authorships[0].affiliations[0].raw_affiliation_string | Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China |
| authorships[0].affiliations[1].institution_ids | https://openalex.org/I76214153 |
| authorships[0].affiliations[1].raw_affiliation_string | Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou 730000, China |
| authorships[0].affiliations[2].institution_ids | https://openalex.org/I76214153 |
| authorships[0].affiliations[2].raw_affiliation_string | Lanzhou Center for Theoretical Physics & Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China |
| authorships[0].institutions[0].id | https://openalex.org/I4210125404 |
| authorships[0].institutions[0].ror | https://ror.org/02xtbq882 |
| authorships[0].institutions[0].type | facility |
| authorships[0].institutions[0].lineage | https://openalex.org/I19820366, https://openalex.org/I4210125404 |
| authorships[0].institutions[0].country_code | CN |
| authorships[0].institutions[0].display_name | Institute of Theoretical Physics |
| authorships[0].institutions[1].id | https://openalex.org/I76214153 |
| authorships[0].institutions[1].ror | https://ror.org/01mkqqe32 |
| authorships[0].institutions[1].type | education |
| authorships[0].institutions[1].lineage | https://openalex.org/I76214153 |
| authorships[0].institutions[1].country_code | CN |
| authorships[0].institutions[1].display_name | Lanzhou University |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Yu-Qi Dong |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China, Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou 730000, China, Lanzhou Center for Theoretical Physics & Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China |
| authorships[1].author.id | https://openalex.org/A5007275423 |
| authorships[1].author.orcid | https://orcid.org/0000-0003-3494-6390 |
| authorships[1].author.display_name | Yuqiang Liu |
| authorships[1].countries | CN |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I76214153 |
| authorships[1].affiliations[0].raw_affiliation_string | Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou 730000, China |
| authorships[1].affiliations[1].institution_ids | https://openalex.org/I76214153 |
| authorships[1].affiliations[1].raw_affiliation_string | Lanzhou Center for Theoretical Physics & Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China |
| authorships[1].affiliations[2].institution_ids | https://openalex.org/I4210125404, https://openalex.org/I76214153 |
| authorships[1].affiliations[2].raw_affiliation_string | Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China |
| authorships[1].institutions[0].id | https://openalex.org/I4210125404 |
| authorships[1].institutions[0].ror | https://ror.org/02xtbq882 |
| authorships[1].institutions[0].type | facility |
| authorships[1].institutions[0].lineage | https://openalex.org/I19820366, https://openalex.org/I4210125404 |
| authorships[1].institutions[0].country_code | CN |
| authorships[1].institutions[0].display_name | Institute of Theoretical Physics |
| authorships[1].institutions[1].id | https://openalex.org/I76214153 |
| authorships[1].institutions[1].ror | https://ror.org/01mkqqe32 |
| authorships[1].institutions[1].type | education |
| authorships[1].institutions[1].lineage | https://openalex.org/I76214153 |
| authorships[1].institutions[1].country_code | CN |
| authorships[1].institutions[1].display_name | Lanzhou University |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Yu-Qiang Liu |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China, Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou 730000, China, Lanzhou Center for Theoretical Physics & Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China |
| authorships[2].author.id | https://openalex.org/A5012340027 |
| authorships[2].author.orcid | https://orcid.org/0000-0002-4117-4176 |
| authorships[2].author.display_name | Yu-Xiao Liu |
| authorships[2].countries | CN |
| authorships[2].affiliations[0].institution_ids | https://openalex.org/I4210125404, https://openalex.org/I76214153 |
| authorships[2].affiliations[0].raw_affiliation_string | Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China |
| authorships[2].affiliations[1].institution_ids | https://openalex.org/I76214153 |
| authorships[2].affiliations[1].raw_affiliation_string | Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou 730000, China |
| authorships[2].affiliations[2].institution_ids | https://openalex.org/I76214153 |
| authorships[2].affiliations[2].raw_affiliation_string | Lanzhou Center for Theoretical Physics & Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China |
| authorships[2].institutions[0].id | https://openalex.org/I4210125404 |
| authorships[2].institutions[0].ror | https://ror.org/02xtbq882 |
| authorships[2].institutions[0].type | facility |
| authorships[2].institutions[0].lineage | https://openalex.org/I19820366, https://openalex.org/I4210125404 |
| authorships[2].institutions[0].country_code | CN |
| authorships[2].institutions[0].display_name | Institute of Theoretical Physics |
| authorships[2].institutions[1].id | https://openalex.org/I76214153 |
| authorships[2].institutions[1].ror | https://ror.org/01mkqqe32 |
| authorships[2].institutions[1].type | education |
| authorships[2].institutions[1].lineage | https://openalex.org/I76214153 |
| authorships[2].institutions[1].country_code | CN |
| authorships[2].institutions[1].display_name | Lanzhou University |
| authorships[2].author_position | last |
| authorships[2].raw_author_name | Yu-Xiao Liu |
| authorships[2].is_corresponding | False |
| authorships[2].raw_affiliation_strings | Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China, Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou 730000, China, Lanzhou Center for Theoretical Physics & Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2310.11336 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T10095 |
| primary_topic.field.id | https://openalex.org/fields/31 |
| primary_topic.field.display_name | Physics and Astronomy |
| primary_topic.score | 0.9984999895095825 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/3103 |
| primary_topic.subfield.display_name | Astronomy and Astrophysics |
| primary_topic.display_name | Cosmology and Gravitation Theories |
| related_works | https://openalex.org/W2077804888, https://openalex.org/W2073914985, https://openalex.org/W2170599211, https://openalex.org/W2023962895, https://openalex.org/W2887237872, https://openalex.org/W2081415736, https://openalex.org/W2098898172, https://openalex.org/W1998634987, https://openalex.org/W1529923737, https://openalex.org/W2029917821 |
| cited_by_count | 0 |
| locations_count | 2 |
| best_oa_location.id | pmh:oai:arXiv.org:2310.11336 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2310.11336 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2310.11336 |
| primary_location.id | pmh:oai:arXiv.org:2310.11336 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | https://arxiv.org/pdf/2310.11336 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2310.11336 |
| publication_date | 2023-10-17 |
| publication_year | 2023 |
| referenced_works | https://openalex.org/W2252795400, https://openalex.org/W2756512191, https://openalex.org/W3164345954, https://openalex.org/W4377864450, https://openalex.org/W2011945822, https://openalex.org/W2161277108, https://openalex.org/W4387799864, https://openalex.org/W4311345825, https://openalex.org/W4283317999, https://openalex.org/W2437571239, https://openalex.org/W3111446654, https://openalex.org/W2091980335, https://openalex.org/W3119265973, https://openalex.org/W2174244248, https://openalex.org/W2971627198, https://openalex.org/W4388729239, https://openalex.org/W2615661122, https://openalex.org/W2885620855, https://openalex.org/W3007115477, https://openalex.org/W2027548982, https://openalex.org/W2788440097, https://openalex.org/W3214807773, https://openalex.org/W3214457821, https://openalex.org/W2153344483, https://openalex.org/W3106245125, https://openalex.org/W2979804512, https://openalex.org/W3096163345, https://openalex.org/W2883618936, https://openalex.org/W3012194821, https://openalex.org/W4312010813, https://openalex.org/W2621266390, https://openalex.org/W2759229482, https://openalex.org/W4387210330, https://openalex.org/W3206469371, https://openalex.org/W2169912865, https://openalex.org/W2150844799, https://openalex.org/W3118956677, https://openalex.org/W2765081049, https://openalex.org/W3103586698, https://openalex.org/W4283704466, https://openalex.org/W4387804159, https://openalex.org/W2068144522, https://openalex.org/W1988621345, https://openalex.org/W2972266918, https://openalex.org/W2795466832, https://openalex.org/W2603530353, https://openalex.org/W4386043354, https://openalex.org/W4287992231, https://openalex.org/W3080583220, https://openalex.org/W3044746309, https://openalex.org/W3214692708, https://openalex.org/W3211921487, https://openalex.org/W119088996, https://openalex.org/W3096454667, https://openalex.org/W4387023299 |
| referenced_works_count | 55 |
| abstract_inverted_index.a | 5, 92 |
| abstract_inverted_index.In | 0, 162 |
| abstract_inverted_index.We | 98 |
| abstract_inverted_index.an | 41 |
| abstract_inverted_index.by | 26, 37 |
| abstract_inverted_index.in | 17, 54, 107, 120, 149, 175 |
| abstract_inverted_index.is | 23, 35, 71, 85, 95 |
| abstract_inverted_index.of | 14, 51, 79, 104, 118, 142, 146, 172 |
| abstract_inverted_index.on | 115, 154 |
| abstract_inverted_index.to | 129 |
| abstract_inverted_index.up | 128 |
| abstract_inverted_index.we | 3, 46, 135, 165 |
| abstract_inverted_index.(1) | 69 |
| abstract_inverted_index.(2) | 73 |
| abstract_inverted_index.(3) | 82 |
| abstract_inverted_index.(4) | 88 |
| abstract_inverted_index.The | 74, 83, 89 |
| abstract_inverted_index.all | 130 |
| abstract_inverted_index.and | 29, 40, 60, 123, 180 |
| abstract_inverted_index.for | 9, 127 |
| abstract_inverted_index.our | 138, 160, 163 |
| abstract_inverted_index.six | 131 |
| abstract_inverted_index.the | 11, 18, 27, 30, 38, 48, 55, 66, 77, 101, 108, 111, 116, 121, 124, 140, 143, 156, 169, 176, 181, 187 |
| abstract_inverted_index.Once | 134 |
| abstract_inverted_index.also | 166, 189 |
| abstract_inverted_index.ds$. | 97 |
| abstract_inverted_index.find | 99, 167 |
| abstract_inverted_index.free | 93 |
| abstract_inverted_index.have | 136, 190 |
| abstract_inverted_index.most | 56 |
| abstract_inverted_index.only | 24 |
| abstract_inverted_index.some | 191 |
| abstract_inverted_index.that | 64, 100, 168, 185 |
| abstract_inverted_index.this | 1 |
| abstract_inverted_index.will | 152 |
| abstract_inverted_index.$\int | 96 |
| abstract_inverted_index.above | 112 |
| abstract_inverted_index.least | 80 |
| abstract_inverted_index.modes | 13, 50, 103, 145, 171 |
| abstract_inverted_index.study | 47 |
| abstract_inverted_index.waves | 16, 53, 106, 148, 174 |
| abstract_inverted_index.action | 90 |
| abstract_inverted_index.allows | 126 |
| abstract_inverted_index.depend | 153 |
| abstract_inverted_index.metric | 20, 39, 58, 178 |
| abstract_inverted_index.modes. | 133 |
| abstract_inverted_index.paper, | 2 |
| abstract_inverted_index.scalar | 43 |
| abstract_inverted_index.theory | 21, 33, 59, 63, 75, 84, 109, 125, 179, 184 |
| abstract_inverted_index.within | 159 |
| abstract_inverted_index.action; | 81 |
| abstract_inverted_index.depends | 114 |
| abstract_inverted_index.field). | 44 |
| abstract_inverted_index.general | 19, 31, 57, 61, 177, 182 |
| abstract_inverted_index.metric) | 28 |
| abstract_inverted_index.satisfy | 65, 186 |
| abstract_inverted_index.unified | 6 |
| abstract_inverted_index.(gravity | 22, 34 |
| abstract_inverted_index.analysis | 141 |
| abstract_inverted_index.particle | 94 |
| abstract_inverted_index.specific | 150 |
| abstract_inverted_index.theories | 151 |
| abstract_inverted_index.Spacetime | 70 |
| abstract_inverted_index.analysis, | 164 |
| abstract_inverted_index.analyzing | 10 |
| abstract_inverted_index.described | 25, 36 |
| abstract_inverted_index.establish | 4 |
| abstract_inverted_index.following | 67 |
| abstract_inverted_index.framework | 8 |
| abstract_inverted_index.generally | 86 |
| abstract_inverted_index.principle | 78 |
| abstract_inverted_index.satisfies | 76 |
| abstract_inverted_index.selection | 117 |
| abstract_inverted_index.universal | 193 |
| abstract_inverted_index.additional | 42 |
| abstract_inverted_index.conditions | 113, 188 |
| abstract_inverted_index.covariant; | 87 |
| abstract_inverted_index.describing | 91 |
| abstract_inverted_index.framework, | 122, 139 |
| abstract_inverted_index.framework. | 161 |
| abstract_inverted_index.parameters | 119, 158 |
| abstract_inverted_index.satisfying | 110 |
| abstract_inverted_index.conditions: | 68 |
| abstract_inverted_index.determining | 155 |
| abstract_inverted_index.established | 137 |
| abstract_inverted_index.interesting | 192 |
| abstract_inverted_index.properties. | 194 |
| abstract_inverted_index.polarization | 12, 49, 102, 132, 144, 170 |
| abstract_inverted_index.Specifically, | 45 |
| abstract_inverted_index.corresponding | 157 |
| abstract_inverted_index.gravitational | 15, 52, 105, 147, 173 |
| abstract_inverted_index.parameterized | 7 |
| abstract_inverted_index.scalar-tensor | 32, 62, 183 |
| abstract_inverted_index.four-dimensional; | 72 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.17992749 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |