Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity
Abstract In the present work we have investigated a new anisotropic solution for polytropic stars in the framework of 4D Einstein–Gauss–Bonnet (EGB) gravity. The possibility of determining the masses and radii of compact stars which puts some limitations on equation of state (EoS) above the nuclear...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10766-3 |
| _version_ | 1811191578729906176 |
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| author | Ksh. Newton Singh S. K. Maurya Piyali Bhar Riju Nag |
| author_facet | Ksh. Newton Singh S. K. Maurya Piyali Bhar Riju Nag |
| author_sort | Ksh. Newton Singh |
| collection | DOAJ |
| description | Abstract In the present work we have investigated a new anisotropic solution for polytropic stars in the framework of 4D Einstein–Gauss–Bonnet (EGB) gravity. The possibility of determining the masses and radii of compact stars which puts some limitations on equation of state (EoS) above the nuclear saturation density. For this purpose, the 4D EGB field equations are solved by taking a generalized polytropic equation of state (EoS) with Finch–Skea ansatz. The generalized solution for anisotropic model has been tested for different values of Gauss–Bonnet constant $$\alpha $$ α which satisfies all the physical criteria including causality with static stability via mass vs central mass density ( $$M-\rho _c$$ M - ρ c ), Bondi and Abreu criterion. The adiabatic index shows a minor influence of the GB coupling constant whereas the central and surface redshifts in the EGB gravity always remain lower than the GR. We present the possibility of fitting the mass and radius for some known compact star via $$M-R$$ M - R curve which satisfies the recent gravitational wave observations from GW 170817 event. |
| first_indexed | 2024-04-11T21:12:29Z |
| format | Article |
| id | doaj.art-fd1d5ca6d0ef43abbdc2b6627cdf0c05 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-11T21:12:29Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-fd1d5ca6d0ef43abbdc2b6627cdf0c052022-12-22T04:02:59ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-09-0182911110.1140/epjc/s10052-022-10766-3Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravityKsh. Newton Singh0S. K. Maurya1Piyali Bhar2Riju Nag3Department of Physics, National Defence Academy, KhadakwaslaDepartment of Mathematical and Physical Sciences, College of Arts and Sciences, University of NizwaDepartment of Mathematics, Government General Degree CollegeDepartment of Mathematical and Physical Sciences, College of Arts and Sciences, University of NizwaAbstract In the present work we have investigated a new anisotropic solution for polytropic stars in the framework of 4D Einstein–Gauss–Bonnet (EGB) gravity. The possibility of determining the masses and radii of compact stars which puts some limitations on equation of state (EoS) above the nuclear saturation density. For this purpose, the 4D EGB field equations are solved by taking a generalized polytropic equation of state (EoS) with Finch–Skea ansatz. The generalized solution for anisotropic model has been tested for different values of Gauss–Bonnet constant $$\alpha $$ α which satisfies all the physical criteria including causality with static stability via mass vs central mass density ( $$M-\rho _c$$ M - ρ c ), Bondi and Abreu criterion. The adiabatic index shows a minor influence of the GB coupling constant whereas the central and surface redshifts in the EGB gravity always remain lower than the GR. We present the possibility of fitting the mass and radius for some known compact star via $$M-R$$ M - R curve which satisfies the recent gravitational wave observations from GW 170817 event.https://doi.org/10.1140/epjc/s10052-022-10766-3 |
| spellingShingle | Ksh. Newton Singh S. K. Maurya Piyali Bhar Riju Nag Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity European Physical Journal C: Particles and Fields |
| title | Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity |
| title_full | Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity |
| title_fullStr | Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity |
| title_full_unstemmed | Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity |
| title_short | Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity |
| title_sort | anisotropic solution for polytropic stars in 4d einstein gauss bonnet gravity |
| url | https://doi.org/10.1140/epjc/s10052-022-10766-3 |
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