Dynamical analysis of charged anisotropic spherical star in f(R) gravity

H. Rizwana Kausar; Ifra Noureen; M. Umair Shahzad

doi:10.1140/epjp/i2015-15204-4

EPJ

Dynamical analysis of charged anisotropic spherical star in f(R) gravity

H. Rizwana Kausar¹^*, Ifra Noureen² and M. Umair Shahzad¹

¹ CAMS, UCP Business School, University of Central Punjab, Lahore, Pakistan
² Department of Mathematics, University of Management and Technology, Lahore, Pakistan

^* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 24 June 2015
Revised: 15 August 2015
Accepted: 7 September 2015
Published online: 14 October 2015

Abstract

We consider a modified gravity theory, $Mathematical equation: $$f(R) = R + \alpha R^n - \tfrac{{\mu ^4 }} {{R^m }}$$$ , in the metric formulation and analyze the contribution of the electromagnetic field on the range of dynamical instability of a star filled with anisotropic matter. The collapse equation is developed by applying conservation on anisotropic matter, Maxwell source and dark source terms arising due to f(R) gravity. A specific perturbation scheme is implemented and it is observed that the inclusion of Maxwell source slows down the collapse and makes the system more stable in Newtonian regime. Also, we make a comparison of our results with the existing literature.

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EPJ

Dynamical analysis of charged anisotropic spherical star in f(R) gravity

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