Class I polytropes for anisotropic matter

A. Ramos; C. Arias; E. Fuenmayor; E. Contreras

doi:10.1140/epjc/s10052-021-09002-1

Class I polytropes for anisotropic matter

A. Ramos, C. Arias, E. Fuenmayor, E. Contreras

Física

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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.

Original language	English
Article number	203
Journal	European Physical Journal C
Volume	81
Issue number	3
DOIs	https://doi.org/10.1140/epjc/s10052-021-09002-1
State	Published - Mar 2021

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AB - 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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Class I polytropes for anisotropic matter

Abstract

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