A new class of solutions of compact stars with charged distributions on pseudo-spheroidal spacetime

Abstract

In this paper a new class of exact solutions of Einstein’s field equations for compact stars with charged distributions is obtained on the basis of pseudo-spheroidal spacetime characterized by the metric potential $g_{rr}=\frac{1+K\frac{r^{2}}{R^{2}}}{1+\frac{r^{2}}{R^{2}}}$ , where $K$ and $R$ are geometric parameters of the spacetime. The expressions for radial pressure ( $p_{r}$ ) and electric field intensity ( $E$ ) are chosen in such a way that the model falls in the category of physically acceptable one. The bounds of geometric parameter $K$ and the physical parameters $p_{0}$ and $\alpha$ are obtained by imposing the physical requirements and regularity conditions. The present model is in good agreement with the observational data of various compact stars like 4U 1820-30, PSR J1903+327, 4U 1608-52, Vela X-1, SMC X-4, Cen X-3 given by Gangopadhyay et al. (Mon. Not. R. Astron. Soc. 431:3216, 2013). When $\alpha = 0$ , the model reduces to the uncharged anisotropic distribution given by Thomas and Pandya ( arXiv:1506.08698v1 [gr-qc], 2015).