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

TL;DR

This paper derives a new exact solution for charged compact stars within pseudo-spheroidal spacetime, aligning well with observational data and extending previous uncharged models.

Contribution

It introduces a novel class of solutions for charged compact stars using pseudo-spheroidal geometry, incorporating physical acceptability and observational consistency.

Findings

Model fits observational data of various compact stars.

Reduces to uncharged case when charge parameter is zero.

Provides bounds for geometric and physical parameters.

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 {\em{et al.}} [Gangopadhyay T., Ray S., Li X-D., Dey J. and Dey M., {\it Mon. Not. R. Astron. Soc.} {\bf431} (2013) 3216]. When $ \alpha = 0, $ the model reduces to the uncharged anisotropic distribution given by Thomas and Pandya [Thomas V. O. and Pandya D. M.,~arXiv:1506.08698v1 [gr-qc](26 Jun 2015)].