Class I polytropes for anisotropic matter
A. Ramos, C. Arias, E. Fuenmayor, E. Contreras
TL;DR
This paper investigates class I anisotropic polytropic solutions in stellar models, deriving and solving the generalized Lane-Emden equation, analyzing mass functions, and exploring the effects of the Karmarkar condition.
Contribution
It introduces a generalized Lane-Emden equation for anisotropic polytropes and examines the impact of the Karmarkar condition on stellar mass distributions.
Findings
Derived solutions for anisotropic polytropes in different regimes
Analyzed the Tolman and Karmarkar mass functions
Compared results with existing literature
Abstract
In this work we study class I interior solutions supported by anisotropic polytropes. The generalized Lane--Emden equation compatible with the embedding condition is obtained and solved for a different set of parameters in both the isothermal and non--isothermal regimes. For completeness, the Tolman mass is computed and analysed to some extend. As a complementary study we consider the impact of the Karmarkar condition on the mass and the Tolman mass functions respectively. Comparison with other results in literature are discussed.
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