Compact stars with specific mass function

TL;DR

This paper introduces a new exact solution for compact stars using a novel mass function within embedding class one spacetime, satisfying physical conditions and matching observed astrophysical objects.

Contribution

It proposes a new mass function to derive exact solutions for compact stars in embedding class one spacetime, ensuring physical viability and observational consistency.

Findings

Solutions are well-behaved at the star's center

Energy conditions are satisfied

Mass-radius relation is within Buchdahl's limit

Abstract

Aims: In the present work we search for a new model of compact star within embedding class one spacetime i.e., four dimensional spacetime embedded in five dimensional Pseudo Euclidean space. Methods: In particular we propose a new mass function to obtain an exact analytic solutions of the Einstein field equations. For this specific? mass function, obtained solutions are well-behaved at the centre of the star, satisfy all energy conditions and the mass-radius relation fall within the limit proposed by Buchdahl [1]. Results: The static equilibrium condition has been maintained under different forces. We have discussed the solutions in detail and compare with a set of astrophysical objects like 4U1608-52, PSR J1903+327, PSR J1614-2230 and X-ray pulsar Vela X-1 is also explored.