Charged strange stellar model describing by Tolman V metric

Abstract

This paper deals with the existence of a compact stellar object, precisely strange (quark) star, in the framework of Einstein’s General Theory of Relativity with Tolman V metric potential, which is one of the simplest forms of potential among his proposals. The potential is given by eν=Kr2n, where K is the constant and n is a parameter [R.C. Tolman, Phys. Rev. 55, 364 (1939)]. Considering charged, static, spherically symmetric, isotropic fluid sphere we have studied different physical features of some strange star candidates namely EXO1785-248,LMCX-4,SMCX-1,SAXJ1808.4-3658,4U1538-52 and HerX-1. To represent the strange quark matter (SQM) distribution we have employed the simplest form of MIT Bag equation of state (EOS), which provides a linear relationship between pressure and density of the matter through Bag constant B. Several tests are done for the stability criteria and physical acceptability of the proposed model. The results show consistency with energy condition, TOV equation, adiabatic index, etc. We have also calculated different physical parameters of our model for the three different consecutive values of Bag constant B which are 83MeV/fm3,90MeV/fm3 and 100MeV/fm3. Among them with B=90MeV/fm3 we have analyzed different properties of the proposed strange star candidates.

Keywords

• General relativity
• Strange stars
• MIT Bag equation of state
• Tolman V potential