Anisotropic Compact stars with variable cosmological constant

TL;DR

This paper explores the potential of the cosmological constant, varying radially, to model anisotropic compact stars, demonstrating the model's validity through analytical solutions and stability analysis.

Contribution

It introduces a novel approach of using a variable cosmological constant to model anisotropic compact stars with analytical solutions.

Findings

Model is valid for various compact stars

Stability and regularity conditions are satisfied

Specific example of 4U 1820-30 confirmed

Abstract

Recently the small value of the cosmological constant and its ability to accelerate the expansion of the Universe is of great interest. We discuss the possibility of forming of anisotropic compact stars from this cosmological constant as one of the competent candidates of dark energy. For this purpose we consider the analytical solution of Krori and Barua metric. We take the radial dependence of cosmological constant and check all the regularity conditions, TOV equations, stability and surface redshift of the compact stars. It has been shown as conclusion that this model is valid for any compact star and we have cited $4U 1820-30$ as a specific example of that kind of star.