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 $8\pi p_{r}=\frac{K-1}{R^{2}}\frac{ (1-\frac{r^{2}}{R^{2}} )}{ (1+K\frac{r^{2}}{R^{2}} )^{2}}$ and $E^{2}=\frac{\alpha(K-1)\frac{r^{2}}{R^{2}}}{R^{2} (1+K\frac{r^{2}}{R^{2}} )^{2}}$. 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 et al. (Mon. Not. R. Astron. Soc. 431:3216, 2013). When $\alpha= 0$, the model reduces to the uncharged anisotropic distribution given by Ratanpal et al. (arXiv:1506.08512 [gr-qc], 2015).