Anisotropic relativistic stellar models

TL;DR

This paper introduces a new class of exact solutions to Einstein's equations for anisotropic, static, spherically symmetric stars, with parameters that can model realistic objects like neutron stars.

Contribution

It provides novel exact solutions assuming a specific anisotropy factor, expanding the set of models for relativistic stellar structures.

Findings

Energy density and pressures are finite and positive inside the star.

Model parameters can describe realistic neutron star properties.

Solutions are physically viable and match astrophysical observations.

Abstract

We present a class of exact solutions of Einstein's gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the anisotropy factor. The energy density and both radial and tangential pressures are finite and positive inside the anisotropic star. Numerical results show that the basic physical parameters (mass and radius) of the model can describe realistic astrophysical objects like neutron stars.