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Stellar shear-free gravitational collapse with Karmarkar condition in $f (R)$ $f (R)$ gravity

G. Abbas

Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan

E-mail Address: ghulamabbas@iub.edu.pk

Corresponding author.

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and

H. Nazar

Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan

E-mail Address: hammadnazar350@gmail.com

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https://doi.org/10.1142/S0217751X19502208Cited by:12 (Source: Crossref)

Abstract

This work has investigated the outcomes of spherically symmetric radiating dissipative gravitational collapse model with anisotropic heat conducting matter distribution by imposing time-dependent Karmarkar condition in the alternative $f (R)$ $f (R)$ theory of gravity. For this evaluation, we defined the smooth matching conditions between the interior space–time and exterior Vaidya solution at the junction interface. Afterwards, we have found an exact particular solution of our radiative star model by using the Karmarkar condition. Moreover, the physical components of the matter distribution, energy conditions and time relaxational effects on the temporal profile are thoroughly discussed with graphical analysis which indicates the system is well behaved.

Keywords:

PACS: 04.40.Dg, 04.40.Nr, 04.50.-h, 04.50.Kd

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