Eur. Phys. J. Plus (2017) 132: 127
https://doi.org/10.1140/epjp/i2017-11421-1

Regular Article

Dynamics of stellar filaments in f(G) gravity

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

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

Received: 14 February 2017
Accepted: 23 February 2017
Published online: 16 March 2017

Abstract

We discuss the dynamics of stellar filaments with cylindrical symmetry in the context of f(G) gravity. For this purpose, we consider the modified gravity coupled with a dissipative anisotropic fluid and construct scalar functions through orthogonal splitting of the Riemann tensor. We formulate the set of equations governing the evolution and structure of stellar filaments in terms of these scalars. Finally, we discuss all static solutions for cylindrical filaments with anisotropy as well as isotropy and conclude that stellar filaments are necessarily inhomogeneous in this gravity.