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

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)]