Generalized Finch and Skea model compatible with observational data

TL;DR

This paper introduces a new class of solutions to Einstein's field equations for anisotropic compact stars, generalizing the Finch and Skea model with a linear equation of state, resulting in a physically plausible stellar model.

Contribution

The authors develop a novel exact solution to Einstein's equations by extending the Finch and Skea ansatz with a linear equation of state, applicable to modeling realistic compact stars.

Findings

Model satisfies physical criteria for compact stars

Generates a plausible model for PSR J0348+0432

Ensures regularity, stability, and causality

Abstract

We present an entirely new class of solutions to Einstein's field equations that correspond to a static spherically symmetric anisotropic system by generalizing the Finch and Skea ansatz using the linear equation of state for the gravitational potential $g_{rr} $. Based on physical requirements, regularity condition, and stability, we make various assumptions about the model's parameters. The exact solution generates a plausible model of a compact star PSR J0348+0432 that satisfies all physical criteria. The requirements for a well-behaved compact star are met, including regularity, equilibrium, causality, stability, energy, and compactness limitations.