Strange Quark Star (SQS) in Tolman IV potential with density dependent B-parameter and charge

K. B. Goswami; R. Roy; A. Saha; P. K. Chattopadhyay

doi:10.1140/epjc/s10052-022-11009-1

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 1042
https://doi.org/10.1140/epjc/s10052-022-11009-1

Regular Article - Theoretical Physics

Strange Quark Star (SQS) in Tolman IV potential with density dependent B-parameter and charge

K. B. Goswami¹, R. Roy¹, A. Saha¹^,2 and P. K. Chattopadhyay¹^d

¹ Department of Physics, Coochbehar Panchanan Barma University, Vivekananda Street, 736101, Coochbehar, West Bengal, India
² Department of Physics, Alipurduar College, 736122, Alipurduar, West Bengal, India

^d pkc_76@rediffmail.com

Received: 30 August 2022
Accepted: 5 November 2022
Published online: 17 November 2022

Abstract

In this paper, the solutions of Einstein–Maxwell Field Equations for relativistic strange quark star in Tolman-IV potential considering MIT bag model EoS $p = \frac{1}{3} (ρ - 4 B)$ $p=\frac{1}{3}(\rho -4B)$ of interior matter in presence of charge in higher dimensions is presented, where B is bag parameter. Here we consider density dependent B as it has more practical application. We note some interesting results. It is observed that interior of a strange quark star may contain bulk stable quarks as a whole having energy per baryon $E_{B} < 930.4$ $$E_B<930.4$$ MeV/fm $^{3}$ $$^3$$ or stable quark matter core enclosed by a thin metastable quark matter layer enveloped by unstable quark matter. It is also found that interior composition depends on the value of space-time dimension (D) and net charge (Q). The model presented in this paper satisfies all the necessary stability and energy conditions for a viable stellar configuration. We also note the maximum mass of stable strange quark star is 1.773 $M_{⊙}$ $M_{\odot }$ for density dependent B and 1.684 $M_{⊙}$ $M_{\odot }$ for constant B.

© The Author(s) 2022

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