A new class of solutions of anisotropic charged distributions on pseudo-spheroidal spacetime

TL;DR

This paper presents a new class of exact solutions for charged anisotropic stellar models on pseudo-spheroidal spacetime, aligning well with observational data of various compact stars and generalizing uncharged models.

Contribution

The authors derive a novel class of solutions for Einstein's field equations incorporating charge and anisotropy on pseudo-spheroidal spacetime, extending previous uncharged models.

Findings

Model fits observational data of multiple compact stars.

Charged anisotropic solutions reduce to uncharged models when charge parameter is zero.

Parameters are constrained for physical acceptability.

Abstract

In the present article a new class of exact solutions of Einstein's field equations for charged anisotropic distribution is obtained on the background 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 radial pressure $p_r$ and electric field intensity $E$ are taken in the form $8\pi p_r = \frac{K-1}{R^2}\frac{\left(1-\frac{r^2}{R^2} \right)}{\left(1+K\frac{r^2}{R^2} \right)^2}$ and $E^2 = \frac{\alpha(K-1)\frac{r^2}{R^2}}{R^2\left(1+K\frac{r^2}{R^2} \right)^2}$. The bounds of geometric parameter $K$ and the parameter $\alpha$ appearing in the expression of $E^2$ are obtained by imposing the requirements for a physically acceptable model. It is found that the model is in good agreement with the observational data of number of compact stars like 4U 1820-30, PSR J1903+327, 4U 1608-52, Vela X-1, PSR J1614-2230, 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 Ratanpal {\em et al.} [Ratanpal B. S., Thomas V. O. and Pandya D. M., arXiv:1506.08512 [gr-qc](2015)]