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Class I polytropes for anisotropic matter

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arxiv 2103.05039 v1 pith:2NA3NCF4 submitted 2021-03-08 gr-qc

Class I polytropes for anisotropic matter

classification gr-qc
keywords massanisotropicclassconditionpolytropestolmananalysedcomparison
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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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