Generating exact polytropes in non-conservative unimodular geometries Article Swipe
Sudan Hansraj
,
Chevarra Hansraj
,
Njabulo Mkhize
,
Abdelghani Errehymy
,
Christian G. Boehmer
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.dark.2024.101443
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.dark.2024.101443
The trace-free Einstein equations contain one equation less than the complete\nfield equations. In a static and spherically symmetric spacetime, the number of\nfield equations is thus reduced to two. The equation of pressure isotropy of\ngeneral relativity, however, is preserved thus showing that any known perfect\nfluid spacetime is a suitable candidate for the trace-free scenario. The extra\nfreedom in imposing two constraints may now be exploited to include polytopes,\nsomething that is difficult in general relativity. The point here is that using\nany known exact solution one can find a polytropic star for various values of\nthe polytropic index. One arrives at Tolman-Oppenheimer-Volkoff type equations\nand can study their solutions explicitly. Two examples of well-known stellar\ndistributions that generate polytropes with physically reasonable behaviour are\ndiscussed. These models are regular, exhibit a sound speed that is never\nsuperluminal and are adiabatically stable in the sense of Chandrasekhar. We\ninvestigate a compactness measure confirming that our results are consistent\nwith some observational data.\n
Related Topics
Concepts
Polytropic process
Physics
General relativity
Einstein field equations
Spacetime
Barotropic fluid
Classical mechanics
Perfect fluid
TRACE (psycholinguistics)
Unimodular matrix
Compact space
Numerical relativity
Isotropy
Mathematical physics
Theoretical physics
Mathematical analysis
Mathematics
Quantum mechanics
Linguistics
Discrete mathematics
Mechanics
Philosophy
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.dark.2024.101443
- OA Status
- hybrid
- Cited By
- 4
- References
- 59
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4391799231
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4391799231Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1016/j.dark.2024.101443Digital Object Identifier
- Title
-
Generating exact polytropes in non-conservative unimodular geometriesWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-02-16Full publication date if available
- Authors
-
Sudan Hansraj, Chevarra Hansraj, Njabulo Mkhize, Abdelghani Errehymy, Christian G. BoehmerList of authors in order
- Landing page
-
https://doi.org/10.1016/j.dark.2024.101443Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
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https://doi.org/10.1016/j.dark.2024.101443Direct OA link when available
- Concepts
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Polytropic process, Physics, General relativity, Einstein field equations, Spacetime, Barotropic fluid, Classical mechanics, Perfect fluid, TRACE (psycholinguistics), Unimodular matrix, Compact space, Numerical relativity, Isotropy, Mathematical physics, Theoretical physics, Mathematical analysis, Mathematics, Quantum mechanics, Linguistics, Discrete mathematics, Mechanics, PhilosophyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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4Total citation count in OpenAlex
- Citations by year (recent)
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2024: 4Per-year citation counts (last 5 years)
- References (count)
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59Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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