This article is cited in 3 papers

Plane symmetric solutions in $f(\mathcal{G},T)$ gravity

M. F. Shamir, A. Saeed

National University of Computer and Emerging Sciences, Lahore, Lahore, Pakistan

Abstract: We obtain several exact solutions for a plane symmetric space–time in the framework of a recently constructed $f(\mathcal{G},T)$ theory of gravity, where $f(\mathcal{G},T)$ is a generic function of the Gauss–Bonnet invariant $\mathcal{G}$ and the trace $T$ of the energy–momentum tensor. To obtain solutions, we consider a power-law $f(\mathcal{G},T)$ gravity model and analyze the obtained results graphically. Moreover, to justify the method, we reconstruct several well-known cosmological results.

Keywords: $f(\mathcal{G},T)$ gravity, plane symmetric space–time, exact solution.

Received: 09.12.2017
Revised: 09.05.2018

DOI: 10.4213/tmf9519

 English version: Theoretical and Mathematical Physics, 2018, 197:3, 1845–1855

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