A New Anisotropic Compact Star Model having Matese \& Whitman Mass Function

TL;DR

This paper introduces a new anisotropic compact star model using the Matese & Whitman mass function, providing a physically acceptable, singularity-free solution consistent with observational data of specific compact objects.

Contribution

It presents a novel anisotropic star model with closed-form solutions, generalizing previous models to include quadratic equations of state and matching observational data.

Findings

Model is singularity free and physically well-behaved

Compatible with observational data of SAX J 1808.4-3658 and 4U 1820-30

Satisfies all physical acceptability conditions

Abstract

A new singularity free model of anisotroipic compact star is proposed. The Einstein field equations are solved in closed form by utilizing Matese \& Whitman mass function. The model parameters $\rho$, $p_r$ and $p_t$ all are well behaved inside the stellar interior and our model satisfies all the required conditions to be physically acceptable. The model given in the present work is compatible with observational data of compact objects like SAX J 1808.4-3658 (SS1), SAX J 1808.4-3658 (SS2) and 4U 1820-30. A particular model of 4U 1820-30 is studied in detail and found that it satisfies all the condition needed for physically acceptable model. The present work is the generalization of Sharma and Ratanpal\cite{sharma13} model for compact stars admitting quadratic equation of state.