A Generalized Double Chaplygin Model for Anisotropic Matter: The Newtonian Case

TL;DR

This paper develops a generalized model for anisotropic matter in Newtonian astrophysical systems, deriving and numerically solving a modified Lane-Emden equation to analyze mass support limits compared to Chandrasekhar mass.

Contribution

It introduces a generalized double Chaplygin model for anisotropic matter in Newtonian systems and derives the corresponding Lane-Emden equation for the first time.

Findings

Numerical solutions of the modified Lane-Emden equation for various parameters.

Comparison of the supported mass with Chandrasekhar mass limits.

Insights into the effects of anisotropic pressures on astrophysical stability.

Abstract

In this work, we investigate astrophysical systems in a Newtonian regime using anisotropic matter. For this purpose, we considered that both radial and tangential pressures satisfy a generalized Chaplygin-type equation of state. Using this model, we found the Lane--Emden equation for this system and solved it numerically for several sets of parameters. Finally, we explored the mass supported by this physical system and compared it with the Chandrasekhar mass.