On the features of Matese-Whitman mass function

TL;DR

This paper thoroughly investigates the physical properties of the Matese-Whitman mass function, deriving exact solutions for anisotropic compact stars and analyzing their physical viability.

Contribution

It introduces exact solutions for anisotropic stars using the Matese-Whitman mass function within Einstein's equations and assesses their physical relevance.

Findings

Models exhibit physically acceptable features for compact stars

Exact solutions align with observed stellar properties

Mass function demonstrates realistic behavior in stellar contexts

Abstract

In the present paper we exhaustively examine the physical status of the socalled Matese-Whitman mass function [J.J. Matese and P.G. Whitman, Phys. Rev. D, 22, 1270 (1980)]. As a first step, we construct the relevant Einstein field equations with an anisotropic matter distribution under the approach of Conformal killing Vector. In the intermideate step we find a set of exact solutions by using the Matese-Whitman mass function. Eventually we conduct several physical tests to explore features of the applied mass function in connection to the specific compact stars. It can be observed that all the features of the model based on the Matese-Whitman mass function are of physical interests.