Eur. Phys. J. Plus (2016) 131: 265
https://doi.org/10.1140/epjp/i2016-16265-5

Regular Article

Effects of f(G) gravity on the dynamics of self-gravitating fluids

¹ Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan
² Department of Mathematics, Queen Mary College, 54000, Lahore, Pakistan

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

Received: 24 June 2016
Accepted: 4 July 2016
Published online: 8 August 2016

Abstract

We study the dynamics of self-gravitating fluids bounded by spherically symmetric surface in the background of f (G) gravity. The link between physical and geometrical variables, such as anisotropy, density inhomogeneity, dissipation, the Weyl tensor, expansion scalar, shear tensor and modified (Gauss-Bonnet) curvature terms, is given. We also investigate some particular fluid models according to various dynamical conditions. It is found that our results are consistent with general relativity for constant f (G) model (regular distribution of dark energy in the universe). Any other choice of the model leads to irregular distribution of dark energy and deviates from general relativity.