New charged anisotropic solution on paraboloidal spacetime

TL;DR

This paper presents new exact solutions for charged anisotropic stellar models in paraboloidal spacetime, demonstrating their physical viability and compatibility with observed compact stars.

Contribution

It introduces a novel class of solutions assuming a linear equation of state and specific metric potential, expanding the set of physically acceptable stellar models.

Findings

Model satisfies all physical acceptability conditions.

Compatible with several observed compact stars.

Provides a new exact solution for charged anisotropic stars.

Abstract

New exact solutions of Einstein's field equations for charged stellar models by assuming linear equation of state $ P_r=A(\rho-\rho_{a}) $, where $ P_r $ is the radial pressure and $ \rho_{a} $ is the surface density. By assuming $ e^{\lambda} = 1+\frac{r^2}{R^2} $ for metric potential. The physical acceptability conditions of the model are investigated, and the model is compatible with several compact star candidates like 4U 1820-30, PSR J1903+327, EXO 1785-248, Vela X-1, PSR J1614-2230, Cen X-3. A noteworthy feature of the model is that it satisfies all the conditions needed for a physically acceptable model.