Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity

Ksh. Newton Singh; S. K. Maurya; Piyali Bhar; Riju Nag

doi:10.1140/epjc/s10052-022-10766-3

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 822
https://doi.org/10.1140/epjc/s10052-022-10766-3

Regular Article - Theoretical Physics

Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity

Ksh. Newton Singh¹, S. K. Maurya²^b, Piyali Bhar³ and Riju Nag²

¹ Department of Physics, National Defence Academy, Khadakwasla, 411023, Pune, India
² Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Nizwa, Sultanate of Oman
³ Department of Mathematics, Government General Degree College, Singur, 712 409, Hooghly, West Bengal, India

^b sunil@unizwa.edu.com

Received: 2 January 2022
Accepted: 29 August 2022
Published online: 16 September 2022

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 $α$ $\alpha$ which satisfies all the physical criteria including causality with static stability via mass vs central mass density ( $M - ρ_{c}$ $M-\rho _c$ ), 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.

© The Author(s) 2022

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