Modelling of anisotropic compact stars of emebedding class one

TL;DR

This paper develops static anisotropic compact star models using Einstein's field equations with embedding class one, applying specific metric functions to represent realistic stellar objects and analyzing their physical properties and stability.

Contribution

It introduces a new class of anisotropic star models based on embedding class one metrics, providing detailed physical analysis and comparison with observed compact stars.

Findings

Models successfully represent observed compact stars like Her X-1 and Vela X-12.

Physical properties such as pressure, density, and red-shift are consistent with realistic stars.

Stability analysis confirms the physical viability of the models.

Abstract

In the present article, we have constructed static anisotropic compact star models of Einstein field equations for the spherical symmetric metric of embedding class one. By assuming the particular form of metric function $\nu$, We have solved the Einstein field equations for anisotropic matter distribution. The anisotropic models are representing the realistic compact objects such as SAX J 1808.4-3658 (SS1), Her X - 1, Vela X-12, PSR J1614-2230 and Cen X - 3. We have reported our results in details for compact star Her X-1 on the ground of physical properties such as pressure, density, velocity of sound, energy conditions, TOV equation and red-shift etc. Along with these, we have also discussed about stability of the compact star models. Finally we made the comparison between our anisotropic stars with the realistic objects on the key aspects as central density, central pressure, compactness and surface red-shift.