Polytropic stellar structure in 5$\mathcal{D}$ Einstein-Gauss-Bonnet gravity

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Hauptverfasser: Karmakar, Akashdip, Debnath, Ujjal, Rej, Pramit
Format: Preprint
Veröffentlicht: 2024
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author Karmakar, Akashdip
Debnath, Ujjal
Rej, Pramit
author_facet Karmakar, Akashdip
Debnath, Ujjal
Rej, Pramit
contents Polytropic stars are useful tools for learning about stellar structure without the complexity of comprehensive stellar models. These models rely on a certain power-law correlation between the star's pressure and density. This paper proposes a polytropic star model to investigate some new features in the context of $5\mathcal{D}$ Einstein-Gauss-Bonnet (EGB) gravity using the Finch-Skea {\em ansatz} [{\em M. R. Finch and J. E. Skea, Classical and Quantum Gravity 6, 467 (1989)}]. Analytical results are better described by graphical representations of the physical parameters for various values of the Gauss-Bonnet coupling constant $α$. The solution for a specific compact object, EXO 1785-248, with radius $\mathfrak{R} = 8.849_{-0.04}^{+0.04}$ km and mass $\mathcal{M} = 1.3 \pm 0.02~\mathcal{M}_{\odot}$, is shown here. We analyze the essential physical attributes of the star, which reveal the influence of the coupling parameter $α$ on the values of the parameters. Ultimately, we conclude that our current model is realistic because it satisfies all the physical criteria for an acceptable model.
format Preprint
id arxiv_https___arxiv_org_abs_2403_03026
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Polytropic stellar structure in 5$\mathcal{D}$ Einstein-Gauss-Bonnet gravity
Karmakar, Akashdip
Debnath, Ujjal
Rej, Pramit
General Relativity and Quantum Cosmology
Solar and Stellar Astrophysics
Polytropic stars are useful tools for learning about stellar structure without the complexity of comprehensive stellar models. These models rely on a certain power-law correlation between the star's pressure and density. This paper proposes a polytropic star model to investigate some new features in the context of $5\mathcal{D}$ Einstein-Gauss-Bonnet (EGB) gravity using the Finch-Skea {\em ansatz} [{\em M. R. Finch and J. E. Skea, Classical and Quantum Gravity 6, 467 (1989)}]. Analytical results are better described by graphical representations of the physical parameters for various values of the Gauss-Bonnet coupling constant $α$. The solution for a specific compact object, EXO 1785-248, with radius $\mathfrak{R} = 8.849_{-0.04}^{+0.04}$ km and mass $\mathcal{M} = 1.3 \pm 0.02~\mathcal{M}_{\odot}$, is shown here. We analyze the essential physical attributes of the star, which reveal the influence of the coupling parameter $α$ on the values of the parameters. Ultimately, we conclude that our current model is realistic because it satisfies all the physical criteria for an acceptable model.
title Polytropic stellar structure in 5$\mathcal{D}$ Einstein-Gauss-Bonnet gravity
topic General Relativity and Quantum Cosmology
Solar and Stellar Astrophysics
url https://arxiv.org/abs/2403.03026