Plane Symmetric Solutions in f( $$\mathcal{G}$$ G , T) Gravity

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 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.