Modified Finch and Skea stellar model compatible with observational data

TL;DR

This paper introduces a new class of anisotropic stellar models based on a generalized Finch and Skea ansatz, demonstrating compatibility with observed data of various compact stars and extending previous models.

Contribution

It generalizes the Finch and Skea ansatz for gravitational potential, providing a broader class of solutions that fit observational data of compact stars.

Findings

Model is compatible with observed masses and radii of multiple compact stars.

Provides bounds on model parameters ensuring physical viability.

Extends previous Sharma and Ratanpal model as a special case.

Abstract

We present a new class of solutions to the Einstein's field equations corresponding to a static spherically symmetric anisotropic system by generalizing the ansatz of Finch and Skea [Class. Quantum Grav. 6 (1989) 467] for the gravitational potential $g_{rr}$. The anisotropic stellar model previously studied by Sharma and Ratanpal (2013) [Int. J. Mod. Phy. D 13 (2013) 1350074] is a sub-class of the solutions provided here. Based on physical requirements, regularity conditions and stability, we prescribe bounds on the model parameters. By systematically fixing values of the model parameters within the prescribed bound, we demonstrate that our model is compatible with the observed masses and radii of a wide variety of compact stars like 4U 1820-30, PSR J1903+327, 4U 1608-52, Vela X-1, PSR J1614-2230, SAX J1808.4-3658 and Her X-1.