Anisotropic quark stars with an interacting quark equation of state in extra dimension

Krishna Pada Das; Piyali Bhar; Ujjal Debnath

doi:10.1140/epjc/s10052-024-13234-2

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 952
https://doi.org/10.1140/epjc/s10052-024-13234-2

Regular Article –Theoretical Physics

Anisotropic quark stars with an interacting quark equation of state in extra dimension

Krishna Pada Das¹^a, Piyali Bhar² and Ujjal Debnath¹

¹ Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, 711 103, Howrah, India
² Department of Mathematics, Government General Degree College Singur, 712409, Hooghly, West Bengal, India

^a krishnapada0019@gmail.com

Received: 24 June 2024
Accepted: 9 August 2024
Published online: 27 September 2024

Abstract

This work revisits a modified version of the hydrostatic equilibrium equation in the presence of pressure anisotropy based on General Relativity with an extra dimension. We examine the structural features of quark stars in various dimensions by solving the Tolman–Oppenheimer–Volkoff (TOV) equation numerically using the interacting quark EoS. From our result, the compact star model with isotropic pressure can be obtained as $α$ $\alpha$ approaches zero. The energy-dependent maximum mass and its associated radius, as well as the other characteristics like pressure, energy density, stability, etc., of the quark star, are obtained using the numerical solution. Through our detailed study, we have demonstrated that the conclusions we obtained here are consistent with observable evidence in four-dimensional spacetime. In four dimensions, for different values of $α$ $\alpha$ , our obtained results can predict the mass of the compact stars PSR J0740+6620, PSR J1614-2230, Vela X-1, 4U 1608-52, 4U 1820-30, Cen X-3, and EXO 1785-248.

© The Author(s) 2024

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