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

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 $p=\frac{1}{3}(\rho -4B)$ 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 $E_B<930.4$ MeV/fm${}^3$ 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 $M_{\odot }$ for density dependent B and 1.684 $M_{\odot }$ for constant B.