Anisotropic Universe in $f(\mathcal{G},\text{T})$ Gravity

Abstract

This paper is devoted to investigate the recently introduced $f(\mathcal{G},\text{T})$ theory of gravity, where $\mathcal{G}$ is the Gauss-Bonnet term, and $\text{T}$ is the trace of the energy-momentum tensor. For this purpose, anisotropic background is chosen and a power law $f(\mathcal{G},\text{T})$ gravity model is used to find the exact solutions of field equations. In particular, a general solution is obtained which is further used to reconstruct some important solutions in cosmological contexts. The physical quantities like energy density, pressure, and equation of state parameter are calculated. A Starobinsky Like $f_2(\text{T})$ model is proposed which is used to analyze the behavior of universe for different values of equation of state parameter. It is concluded that presence of term $\text{T}$ in the bivariate function $f(\mathcal{G},\text{T})$ may give many cosmologically important solutions of the field equations.

20 pages, 10 figures, minor changes

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Cited by in corpus (3)

• Modified Gauss-Bonnet Gravity with Radiating Fluids
• Bianchi I metric solutions with nonminimally coupled Einstein-Maxwell gravity theory
• The Impact of $f(\mathcal{G},T)$ Gravity on the Evolution of Cavity in the Cluster of Stars