Study of homologous cluster of stars in 𝒇(𝑹, 𝑻) gravity
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Date
2021
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UMT Lahore
Abstract
In this paper, we discuss homologous model of cluster of star in f (R, T ) gravity. For this purpose, we use f (R, T ) = R + Υ(−T )n model to incorporate exotic terms in the system. The quasi-static approximations is applied upon the shear-free dissipated relativistic self-gravitating charged fluid. It is found that non-dissipative case easily reduce to linear homology law in Newtonian regime. In the dissipative case, this condition exhibits that the linear homology law for a fluid element is applicable only if we apply the homology conditions upon temperature, emission rate and charged associated to baryonic matter. For dark matter, it depends upon the emission of gravitational dissipation. Also, it is deduced that the shear-free and homogeneous expansion rate conditions are equivalent to the homology conditions only in the Newtonian limit. Further, deviation from homologies conditions leads to thermal peeling effects.