Rotationally and tidally distorted compact stars A theoretical approach to the gravity-darkening exponents for white dwarfs Article Swipe
To the best of our knowledge, there are no specific calculations of gravity-darkening exponents for white dwarfs in the literature. On the other hand, the number of known eclipsing binaries whose components are tidally and/or rotationally distorted white dwarfs is increasing year on year. Our main objective is to present the first theoretical approaches to the problem of the distribution of temperatures on the surfaces of compact stars distorted by rotation and/or tides in order to compare with relevant observational data. We find discrepancies between the gravity-darkening exponents calculated with our methods and the predictions of the von Zeipel theorem, particularly in the cases of cold white dwarfs; although the discrepancy also applies to higher effective temperatures under determined physical conditions. We find physical connections between the gravity-darkening exponents calculated using our modified method of triangles strategy with the convective efficiency (defined here as the ratio of the convective to the total flux). A connection between the entropy and the gravity-darkening coefficients is also found: variations of the former cause changes in the way the temperature is distributed on distorted stellar surfaces. On the other hand, we have generalised the von Zeipel theorem for the case of hot white dwarfs. Such a generalisation allows us to predict that, under certain circumstances, the value of the gravity-darkening exponent may be smaller than 1.0, even in the case of high effective temperatures.
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- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.48550/arxiv.2103.02445
- OA Status
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- References
- 26
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- 20
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https://openalex.org/W3134970774Canonical identifier for this work in OpenAlex
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https://doi.org/10.48550/arxiv.2103.02445Digital Object Identifier
- Title
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Rotationally and tidally distorted compact stars A theoretical approach to the gravity-darkening exponents for white dwarfsWork title
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
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2021-03-03Full publication date if available
- Authors
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A. ClaretList of authors in order
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https://doi.org/10.48550/arxiv.2103.02445Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://doi.org/10.48550/arxiv.2103.02445Direct OA link when available
- Concepts
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White dwarf, Astrophysics, Physics, Exponent, Stars, Convection, Effective temperature, Surface gravity, Thermodynamics, Linguistics, PhilosophyTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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26Number of works referenced by this work
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20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.circumstances, | 210 |
| abstract_inverted_index.generalisation | 202 |
| abstract_inverted_index.gravity-darkening | 12, 86, 127, 160, 215 |
| cited_by_percentile_year | |
| corresponding_author_ids | https://openalex.org/A5070972267 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 1 |
| corresponding_institution_ids | https://openalex.org/I173304897, https://openalex.org/I4210159146 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/14 |
| sustainable_development_goals[0].score | 0.5899999737739563 |
| sustainable_development_goals[0].display_name | Life below water |
| citation_normalized_percentile.value | 0.0213262 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |