Spherical dust solution in gravity
Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan
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Accepted: 3 March 2018
Published online: 6 April 2018
In this paper, we study the non-static spherically symmetric solution in the scenario of gravity (R stands for the scalar curvature, T denotes the trace component of and ). The junction conditions are developed by taking interior and exterior metrics. For a specified model of this gravity, we formulate the field equations using a perfect fluid and discuss the solution for the dust case with constant scalar curvature and trace of the energy-momentum tensor. We evaluate the mass function for this solution and discuss the mass-radius relation as well as the surface redshift of the star. These show compatible results for suitable choice of parameters.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018