Study of polytropes with Generalized polytropic Equation of State

TL;DR

This paper develops a comprehensive framework for analyzing Newtonian and relativistic polytropes with generalized equations of state, considering anisotropy, charge, and stability, and identifies a physically acceptable model.

Contribution

It introduces a generalized approach to study charged, anisotropic polytropes under conformally flat conditions, extending previous models.

Findings

One model is physically acceptable.

Stability analyzed via Tolman-mass.

Framework applicable to Newtonian and relativistic cases.

Abstract

The aim of this paper is to discuss the theory of Newtonian and relativistic polytropes with generalized polytropic equation of state. For this purpose, we formulated the general framework to discuss the physical properties of polytrops with anisotropic inner fluid distribution under conformally flat condition in the presence of charge. We investigate the stability of these polytrops in the vicinity of generalized polytropic equation through Tolman-mass. It is concluded that one of the derived models is physically acceptable.