Charged star in (2+1)-dimensional gravity

TL;DR

This paper derives new exact solutions for charged star models in (2+1)-dimensional gravity, considering anisotropic matter and specific electric fields, ensuring regularity and physical plausibility.

Contribution

It presents the first class of analytical solutions for charged stars in (2+1) dimensions with anisotropic matter and specified electric fields.

Findings

Solutions are regular at the center.

Models are well-behaved inside the star.

Both linear and nonlinear equations of state are considered.

Abstract

We obtain a new class of exact solutions for the Einstein-Maxwell system in static spherically symmetric charged star in (2+1)-dimensional gravity. In order to obtain the analytical solutions we treat the matter distribution anisotropic in nature admitting linear or nonlinear equation of state and the electric field intensity was specified. By choosing a suitable choice of mass function m(r), it is possible to integrate the system in closed form. All the solution, which are obtained in both linear and nonlinear cases are regular at the center and well behaved in the stellar interior.