Relativistic stellar model admitting a quadratic equation of state

TL;DR

This paper presents an analytic model of a static, anisotropic compact star with a quadratic equation of state, derived using a specific metric ansatz, and discusses physical bounds on the parameters.

Contribution

It introduces a new exact solution for a relativistic stellar model with a quadratic EOS using the Finch and Skea ansatz.

Findings

Model admits a quadratic equation of state

Physical bounds on model parameters established

Analytic solution with geometric interpretation

Abstract

A class of solutions describing the interior of a static spherically symmetric compact anisotropic star is reported. The analytic solution has been obtained by utilizing the Finch and Skea ({\it Class. Quant. Grav.} {\bf 6} (1989) 467) ansatz for the metric potential $g_{rr}$ which has a clear geometric interpretation for the associated background space-time. Based on physical grounds appropriate bounds on the model parameters have been obtained and it has been shown that the model admits an equation of state (EOS) which is quadratic in nature.