https://doi.org/10.1140/epjp/i2018-11882-6
Regular Article
Study of the charged spherical stellar model in f(R) gravity
Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan
* e-mail: msharif.math@pu.edu.pk
Received:
21
November
2017
Accepted:
17
January
2018
Published online:
16
February
2018
This paper is devoted to studying the dynamics of the charged spherical stellar model in f(R) gravity. We match the interior region incorporating a perfect fluid with the exterior spacetime through junction conditions and we construct dynamical equations via the Misner-Sharp formalism. The coupling of dynamical equations with the energy of the system describe the rate of collapse for both constant as well as general curvature terms. Finally, we develop a relationship between matter variables, dark source terms and the Weyl scalar. It is concluded that the energy density homogeneity exists if and only if the metric is conformally flat while the rate of collapse is found to be diminishing.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018