# Anisotropic strange star in Finsler geometry

## TL;DR

This paper explores anisotropic strange stars within Finsler geometry, developing new field equations, analyzing stability, and calculating key stellar parameters, demonstrating Finsler geometry's suitability for modeling massive stellar objects.

## Contribution

It introduces a novel Finsler geometric framework for anisotropic strange stars and analyzes their physical properties and stability.

## Key findings

- System is consistent with TOV, energy conditions, and cracking concept.
- Anisotropic stress peaks at the stellar surface.
- Maximum mass and radius are computed for different bag constants.

## Abstract

In the present paper, we report on a study of the anisotropic strange stars under Finsler geometry. Keeping in mind that Finsler spacetime is not merely a generalization of Riemannian geometry rather the main idea is the projectivized tangent bundle of the manifold $\mathpzc{M}$, we have developed the respective field equations. Thereafter, we consider the strange quark distribution inside the stellar system followed by the MIT bag model equation of state (EOS). To find out the stability and also the physical acceptability of the stellar configuration, we perform in detail some basic physical tests of the proposed model. The results of the testing show that the system is consistent with the Tolman-Oppenheimer-Volkoff (TOV) equation, Herrera cracking concept, different energy conditions and adiabatic index. One important result that we observe is that the anisotropic stress reaches to the maximum at the surface of the stellar configuration. We calculate (i) the maximum mass as well as corresponding radius, (ii) the central density of the strange stars for finite values of bag constant $B_g$ and (iii) the fractional binding energy of the system. This study shows that Finsler geometry is especially suitable to explain massive stellar systems.