Effective one body Hamiltonian in scalar-tensor gravity at third post-Newtonian order Article Swipe

PDF

Tamanna Jain , P. Rettegno , M. Agathos , Alessandro Nagar , Lorenzo Turco ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2211.15580

We determine the general local-in-time effective-one-body (EOB) Hamiltonian for massless Scalar-Tensor (ST) theories at third post-Newtonian (PN) order. Starting from the Lagrangian derived in [Phys. Rev. D 99, 044047 (2019)], we map it to the corresponding ordinary Hamiltonian describing the two-body interaction in ST theories at 3PN level. Using a canonical transformation, we then map this onto an EOB Hamiltonian so as to determine the ST corrections to the 3PN-accurate EOB potentials $(A,B,Q_e)$ at 3PN. We then focus on circular orbits and compare the effect of the newly computed 3PN terms, also completed with finite-size and nonlocal-in-time contributions, on predictions for the frequency at the innermost stable circular orbit. Our results will be useful to build high-accuracy waveform models in ST theory, which could be used to perform precise tests against General Relativity using gravitational wave data from coalescing compact binaries.

Related Topics

Concepts

Hamiltonian (control theory) Physics Covariant Hamiltonian field theory General relativity Mathematical physics Canonical transformation Classical mechanics Massless particle Gravitational wave Newtonian fluid Gravitation Circular orbit Hamiltonian constraint Scalar (mathematics) Hamiltonian system Mathematics Quantum mechanics Geometry Quantum gravity Quantum Loop quantum gravity Mathematical optimization

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2211.15580
PDF: https://arxiv.org/pdf/2211.15580
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4310429535

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4310429535

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2211.15580

Digital Object Identifier
Title: Effective one body Hamiltonian in scalar-tensor gravity at third post-Newtonian order

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2022

Year of publication
Publication date: 2022-11-28

Full publication date if available
Authors: Tamanna Jain, P. Rettegno, M. Agathos, Alessandro Nagar, Lorenzo Turco

List of authors in order
Landing page: https://arxiv.org/abs/2211.15580

Publisher landing page
PDF URL: https://arxiv.org/pdf/2211.15580

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://arxiv.org/pdf/2211.15580

Direct OA link when available
Concepts: Hamiltonian (control theory), Physics, Covariant Hamiltonian field theory, General relativity, Mathematical physics, Canonical transformation, Classical mechanics, Massless particle, Gravitational wave, Newtonian fluid, Gravitation, Circular orbit, Hamiltonian constraint, Scalar (mathematics), Hamiltonian system, Mathematics, Quantum mechanics, Geometry, Quantum gravity, Quantum, Loop quantum gravity, Mathematical optimization

Top concepts (fields/topics) attached by OpenAlex
Cited by: 0

Total citation count in OpenAlex
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4310429535
doi	https://doi.org/10.48550/arxiv.2211.15580
ids.doi	https://doi.org/10.48550/arxiv.2211.15580
ids.openalex	https://openalex.org/W4310429535
fwci	0.0
type	preprint
title	Effective one body Hamiltonian in scalar-tensor gravity at third post-Newtonian order
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
topics[0].id	https://openalex.org/T10463
topics[0].field.id	https://openalex.org/fields/31
topics[0].field.display_name	Physics and Astronomy
topics[0].score	0.9993000030517578
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	Pulsars and Gravitational Waves Research
topics[1].id	https://openalex.org/T10095
topics[1].field.id	https://openalex.org/fields/31
topics[1].field.display_name	Physics and Astronomy
topics[1].score	0.9993000030517578
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/3103
topics[1].subfield.display_name	Astronomy and Astrophysics
topics[1].display_name	Cosmology and Gravitation Theories
topics[2].id	https://openalex.org/T11405
topics[2].field.id	https://openalex.org/fields/19
topics[2].field.display_name	Earth and Planetary Sciences
topics[2].score	0.9987999796867371
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/1910
topics[2].subfield.display_name	Oceanography
topics[2].display_name	Geophysics and Gravity Measurements
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C130787639
concepts[0].level	2
concepts[0].score	0.7313026189804077
concepts[0].wikidata	https://www.wikidata.org/wiki/Q5645293
concepts[0].display_name	Hamiltonian (control theory)
concepts[1].id	https://openalex.org/C121332964
concepts[1].level	0
concepts[1].score	0.6823482513427734
concepts[1].wikidata	https://www.wikidata.org/wiki/Q413
concepts[1].display_name	Physics
concepts[2].id	https://openalex.org/C109798219
concepts[2].level	3
concepts[2].score	0.6041521430015564
concepts[2].wikidata	https://www.wikidata.org/wiki/Q25304038
concepts[2].display_name	Covariant Hamiltonian field theory
concepts[3].id	https://openalex.org/C147452769
concepts[3].level	2
concepts[3].score	0.5878767967224121
concepts[3].wikidata	https://www.wikidata.org/wiki/Q11452
concepts[3].display_name	General relativity
concepts[4].id	https://openalex.org/C37914503
concepts[4].level	1
concepts[4].score	0.5197750926017761
concepts[4].wikidata	https://www.wikidata.org/wiki/Q156495
concepts[4].display_name	Mathematical physics
concepts[5].id	https://openalex.org/C161520196
concepts[5].level	3
concepts[5].score	0.5140936970710754
concepts[5].wikidata	https://www.wikidata.org/wiki/Q1366892
concepts[5].display_name	Canonical transformation
concepts[6].id	https://openalex.org/C74650414
concepts[6].level	1
concepts[6].score	0.5071771144866943
concepts[6].wikidata	https://www.wikidata.org/wiki/Q11397
concepts[6].display_name	Classical mechanics
concepts[7].id	https://openalex.org/C54937798
concepts[7].level	2
concepts[7].score	0.4882383644580841
concepts[7].wikidata	https://www.wikidata.org/wiki/Q2024141
concepts[7].display_name	Massless particle
concepts[8].id	https://openalex.org/C190330329
concepts[8].level	2
concepts[8].score	0.46643805503845215
concepts[8].wikidata	https://www.wikidata.org/wiki/Q190035
concepts[8].display_name	Gravitational wave
concepts[9].id	https://openalex.org/C294558
concepts[9].level	2
concepts[9].score	0.46578899025917053
concepts[9].wikidata	https://www.wikidata.org/wiki/Q366968
concepts[9].display_name	Newtonian fluid
concepts[10].id	https://openalex.org/C124017977
concepts[10].level	2
concepts[10].score	0.45707258582115173
concepts[10].wikidata	https://www.wikidata.org/wiki/Q11412
concepts[10].display_name	Gravitation
concepts[11].id	https://openalex.org/C59108619
concepts[11].level	2
concepts[11].score	0.44893866777420044
concepts[11].wikidata	https://www.wikidata.org/wiki/Q2261398
concepts[11].display_name	Circular orbit
concepts[12].id	https://openalex.org/C2778267785
concepts[12].level	5
concepts[12].score	0.4339512586593628
concepts[12].wikidata	https://www.wikidata.org/wiki/Q5645295
concepts[12].display_name	Hamiltonian constraint
concepts[13].id	https://openalex.org/C57691317
concepts[13].level	2
concepts[13].score	0.4144657552242279
concepts[13].wikidata	https://www.wikidata.org/wiki/Q1289248
concepts[13].display_name	Scalar (mathematics)
concepts[14].id	https://openalex.org/C121770821
concepts[14].level	2
concepts[14].score	0.2823878526687622
concepts[14].wikidata	https://www.wikidata.org/wiki/Q2072471
concepts[14].display_name	Hamiltonian system
concepts[15].id	https://openalex.org/C33923547
concepts[15].level	0
concepts[15].score	0.193280428647995
concepts[15].wikidata	https://www.wikidata.org/wiki/Q395
concepts[15].display_name	Mathematics
concepts[16].id	https://openalex.org/C62520636
concepts[16].level	1
concepts[16].score	0.19143128395080566
concepts[16].wikidata	https://www.wikidata.org/wiki/Q944
concepts[16].display_name	Quantum mechanics
concepts[17].id	https://openalex.org/C2524010
concepts[17].level	1
concepts[17].score	0.13496407866477966
concepts[17].wikidata	https://www.wikidata.org/wiki/Q8087
concepts[17].display_name	Geometry
concepts[18].id	https://openalex.org/C108568745
concepts[18].level	3
concepts[18].score	0.13206923007965088
concepts[18].wikidata	https://www.wikidata.org/wiki/Q234181
concepts[18].display_name	Quantum gravity
concepts[19].id	https://openalex.org/C84114770
concepts[19].level	2
concepts[19].score	0.06745299696922302
concepts[19].wikidata	https://www.wikidata.org/wiki/Q46344
concepts[19].display_name	Quantum
concepts[20].id	https://openalex.org/C58801389
concepts[20].level	4
concepts[20].score	0.0
concepts[20].wikidata	https://www.wikidata.org/wiki/Q739962
concepts[20].display_name	Loop quantum gravity
concepts[21].id	https://openalex.org/C126255220
concepts[21].level	1
concepts[21].score	0.0
concepts[21].wikidata	https://www.wikidata.org/wiki/Q141495
concepts[21].display_name	Mathematical optimization
keywords[0].id	https://openalex.org/keywords/hamiltonian
keywords[0].score	0.7313026189804077
keywords[0].display_name	Hamiltonian (control theory)
keywords[1].id	https://openalex.org/keywords/physics
keywords[1].score	0.6823482513427734
keywords[1].display_name	Physics
keywords[2].id	https://openalex.org/keywords/covariant-hamiltonian-field-theory
keywords[2].score	0.6041521430015564
keywords[2].display_name	Covariant Hamiltonian field theory
keywords[3].id	https://openalex.org/keywords/general-relativity
keywords[3].score	0.5878767967224121
keywords[3].display_name	General relativity
keywords[4].id	https://openalex.org/keywords/mathematical-physics
keywords[4].score	0.5197750926017761
keywords[4].display_name	Mathematical physics
keywords[5].id	https://openalex.org/keywords/canonical-transformation
keywords[5].score	0.5140936970710754
keywords[5].display_name	Canonical transformation
keywords[6].id	https://openalex.org/keywords/classical-mechanics
keywords[6].score	0.5071771144866943
keywords[6].display_name	Classical mechanics
keywords[7].id	https://openalex.org/keywords/massless-particle
keywords[7].score	0.4882383644580841
keywords[7].display_name	Massless particle
keywords[8].id	https://openalex.org/keywords/gravitational-wave
keywords[8].score	0.46643805503845215
keywords[8].display_name	Gravitational wave
keywords[9].id	https://openalex.org/keywords/newtonian-fluid
keywords[9].score	0.46578899025917053
keywords[9].display_name	Newtonian fluid
keywords[10].id	https://openalex.org/keywords/gravitation
keywords[10].score	0.45707258582115173
keywords[10].display_name	Gravitation
keywords[11].id	https://openalex.org/keywords/circular-orbit
keywords[11].score	0.44893866777420044
keywords[11].display_name	Circular orbit
keywords[12].id	https://openalex.org/keywords/hamiltonian-constraint
keywords[12].score	0.4339512586593628
keywords[12].display_name	Hamiltonian constraint
keywords[13].id	https://openalex.org/keywords/scalar
keywords[13].score	0.4144657552242279
keywords[13].display_name	Scalar (mathematics)
keywords[14].id	https://openalex.org/keywords/hamiltonian-system
keywords[14].score	0.2823878526687622
keywords[14].display_name	Hamiltonian system
keywords[15].id	https://openalex.org/keywords/mathematics
keywords[15].score	0.193280428647995
keywords[15].display_name	Mathematics
keywords[16].id	https://openalex.org/keywords/quantum-mechanics
keywords[16].score	0.19143128395080566
keywords[16].display_name	Quantum mechanics
keywords[17].id	https://openalex.org/keywords/geometry
keywords[17].score	0.13496407866477966
keywords[17].display_name	Geometry
keywords[18].id	https://openalex.org/keywords/quantum-gravity
keywords[18].score	0.13206923007965088
keywords[18].display_name	Quantum gravity
keywords[19].id	https://openalex.org/keywords/quantum
keywords[19].score	0.06745299696922302
keywords[19].display_name	Quantum
language	en
locations[0].id	pmh:oai:arXiv.org:2211.15580
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/2211.15580
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/2211.15580
locations[1].id	doi:10.48550/arxiv.2211.15580
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.2211.15580
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5083270533
authorships[0].author.orcid
authorships[0].author.display_name	Tamanna Jain
authorships[0].author_position	first
authorships[0].raw_author_name	Jain, Tamanna
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5061948137
authorships[1].author.orcid	https://orcid.org/0000-0001-8088-3517
authorships[1].author.display_name	P. Rettegno
authorships[1].author_position	middle
authorships[1].raw_author_name	Rettegno, Piero
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5006008915
authorships[2].author.orcid	https://orcid.org/0000-0002-9072-1121
authorships[2].author.display_name	M. Agathos
authorships[2].author_position	middle
authorships[2].raw_author_name	Agathos, Michalis
authorships[2].is_corresponding	False
authorships[3].author.id	https://openalex.org/A5062856686
authorships[3].author.orcid	https://orcid.org/0000-0001-7998-2673
authorships[3].author.display_name	Alessandro Nagar
authorships[3].author_position	middle
authorships[3].raw_author_name	Nagar, Alessandro
authorships[3].is_corresponding	False
authorships[4].author.id	https://openalex.org/A5080360519
authorships[4].author.orcid
authorships[4].author.display_name	Lorenzo Turco
authorships[4].author_position	last
authorships[4].raw_author_name	Turco, Lorenzo
authorships[4].is_corresponding	False
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/2211.15580
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Effective one body Hamiltonian in scalar-tensor gravity at third post-Newtonian order
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T06:51:31.235846
primary_topic.id	https://openalex.org/T10463
primary_topic.field.id	https://openalex.org/fields/31
primary_topic.field.display_name	Physics and Astronomy
primary_topic.score	0.9993000030517578
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	Pulsars and Gravitational Waves Research
related_works	https://openalex.org/W3099920039, https://openalex.org/W2083754940, https://openalex.org/W1976533580, https://openalex.org/W1612299315, https://openalex.org/W2083144721, https://openalex.org/W53756342, https://openalex.org/W2011003804, https://openalex.org/W4391925912, https://openalex.org/W1998170312, https://openalex.org/W4306404369
cited_by_count	0
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:2211.15580
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/2211.15580
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/2211.15580
primary_location.id	pmh:oai:arXiv.org:2211.15580
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/2211.15580
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/2211.15580
publication_date	2022-11-28
publication_year	2022
referenced_works_count	0
abstract_inverted_index.D	26
abstract_inverted_index.a	49
abstract_inverted_index.ST	43, 65, 120
abstract_inverted_index.We	0, 75
abstract_inverted_index.an	57
abstract_inverted_index.as	61
abstract_inverted_index.at	13, 45, 73, 103
abstract_inverted_index.be	112, 124
abstract_inverted_index.in	23, 42, 119
abstract_inverted_index.it	32
abstract_inverted_index.of	85
abstract_inverted_index.on	78, 98
abstract_inverted_index.so	60
abstract_inverted_index.to	33, 62, 67, 114, 126
abstract_inverted_index.we	30, 52
abstract_inverted_index.3PN	46, 89
abstract_inverted_index.99,	27
abstract_inverted_index.EOB	58, 70
abstract_inverted_index.Our	109
abstract_inverted_index.and	81, 95
abstract_inverted_index.for	8, 100
abstract_inverted_index.map	31, 54
abstract_inverted_index.the	2, 20, 34, 39, 64, 68, 83, 86, 101, 104
abstract_inverted_index.(PN)	16
abstract_inverted_index.(ST)	11
abstract_inverted_index.3PN.	74
abstract_inverted_index.Rev.	25
abstract_inverted_index.also	91
abstract_inverted_index.data	136
abstract_inverted_index.from	19, 137
abstract_inverted_index.onto	56
abstract_inverted_index.then	53, 76
abstract_inverted_index.this	55
abstract_inverted_index.used	125
abstract_inverted_index.wave	135
abstract_inverted_index.will	111
abstract_inverted_index.with	93
abstract_inverted_index.(EOB)	6
abstract_inverted_index.Using	48
abstract_inverted_index.build	115
abstract_inverted_index.could	123
abstract_inverted_index.focus	77
abstract_inverted_index.newly	87
abstract_inverted_index.tests	129
abstract_inverted_index.third	14
abstract_inverted_index.using	133
abstract_inverted_index.which	122
abstract_inverted_index.044047	28
abstract_inverted_index.[Phys.	24
abstract_inverted_index.effect	84
abstract_inverted_index.level.	47
abstract_inverted_index.models	118
abstract_inverted_index.orbit.	108
abstract_inverted_index.orbits	80
abstract_inverted_index.order.	17
abstract_inverted_index.stable	106
abstract_inverted_index.terms,	90
abstract_inverted_index.useful	113
abstract_inverted_index.General	131
abstract_inverted_index.against	130
abstract_inverted_index.compact	139
abstract_inverted_index.compare	82
abstract_inverted_index.derived	22
abstract_inverted_index.general	3
abstract_inverted_index.perform	127
abstract_inverted_index.precise	128
abstract_inverted_index.results	110
abstract_inverted_index.theory,	121
abstract_inverted_index.(2019)],	29
abstract_inverted_index.Starting	18
abstract_inverted_index.circular	79, 107
abstract_inverted_index.computed	88
abstract_inverted_index.massless	9
abstract_inverted_index.ordinary	36
abstract_inverted_index.theories	12, 44
abstract_inverted_index.two-body	40
abstract_inverted_index.waveform	117
abstract_inverted_index.binaries.	140
abstract_inverted_index.canonical	50
abstract_inverted_index.completed	92
abstract_inverted_index.determine	1, 63
abstract_inverted_index.frequency	102
abstract_inverted_index.innermost	105
abstract_inverted_index.Lagrangian	21
abstract_inverted_index.Relativity	132
abstract_inverted_index.coalescing	138
abstract_inverted_index.describing	38
abstract_inverted_index.potentials	71
abstract_inverted_index.$(A,B,Q_e)$	72
abstract_inverted_index.Hamiltonian	7, 37, 59
abstract_inverted_index.corrections	66
abstract_inverted_index.finite-size	94
abstract_inverted_index.interaction	41
abstract_inverted_index.predictions	99
abstract_inverted_index.3PN-accurate	69
abstract_inverted_index.Scalar-Tensor	10
abstract_inverted_index.corresponding	35
abstract_inverted_index.gravitational	134
abstract_inverted_index.high-accuracy	116
abstract_inverted_index.local-in-time	4
abstract_inverted_index.contributions,	97
abstract_inverted_index.post-Newtonian	15
abstract_inverted_index.transformation,	51
abstract_inverted_index.nonlocal-in-time	96
abstract_inverted_index.effective-one-body	5
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	5
citation_normalized_percentile.value	0.16455207
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False