Eur. Phys. J. C (2016) 76: 219
https://doi.org/10.1140/epjc/s10052-016-4064-2

Regular Article - Theoretical Physics

Influence of electric charge and modified gravity on density irregularities

Department of Mathematics, University of the Punjab, Quaid-i-Azam Campus, Lahore, 54590, Pakistan

^* e-mail: mzaeem.math@pu.edu.pk

Received: 27 November 2015
Accepted: 5 April 2016
Published online: 21 April 2016

Abstract

This work aims to identify some inhomogeneity factors for a plane symmetric topology with anisotropic and dissipative fluid under the effects of both electromagnetic field as well as Palatini f(R) gravity. We construct the modified field equations, kinematical quantities, and mass function to continue our analysis. We have explored the dynamical quantities, conservation equations and modified Ellis equations with the help of a viable f(R) model. Some particular cases are discussed with and without dissipation to investigate the corresponding inhomogeneity factors. For a non-radiating scenario, we examine such factors as dust, and isotropic and anisotropic matter in the presence of charge. For a dissipative fluid, we investigate the inhomogeneity factor with a charged dust cloud. We conclude that the electromagnetic field increases the inhomogeneity in matter while the extra curvature terms make the system more homogeneous with the evolution of time.