Anisotropic Stars in General Relativity

TL;DR

This paper introduces exact solutions for anisotropic stellar models in general relativity, demonstrating their potential to represent realistic objects like neutron stars through finite, positive energy density and pressures.

Contribution

It provides a new class of exact solutions assuming a specific anisotropy factor, expanding the set of models for anisotropic stars in Einstein's theory.

Findings

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

Model parameters can describe realistic neutron star properties.

Solutions are consistent with physical conditions for stellar models.

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.