Anisotropic compact stars in Karmarkar spacetime

TL;DR

This paper derives a new exact solution for anisotropic compact stars within Karmarkar spacetime, predicting properties of known stellar objects while ensuring physical viability and singularity-free conditions.

Contribution

It introduces a novel class of solutions to Einstein's equations for anisotropic stars obeying the Karmarkar condition, with a specific metric form and physical validation.

Findings

Predicts masses and radii of specific compact stars

Solution is free from singularities

Satisfies all physical criteria for stellar models

Abstract

We present a new class of solutions to the Einstein field equations for an anisotropic matter distribution in which the interior space-time obeys the Karmarkar condition. The necessary and sufficient condition required for a spherically symmetric space-time to be of class one reduces the gravitational behavior of the model to a single metric function. By assuming a physically viable form for the $g_{rr}$ metric potential we obtain an exact solution of the Einstein field equations which is free from any singularities and satisfies all the physical criteria. We utilize this solution to predict the masses and radii of well-known compact objects such as Cen X-3, PSR J0348+0432, PSRB0943+10 and XTE J1739-285. To be publish in Chinese Physics C (Accepted)