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

## TL;DR

This paper explores the $f( ext{G},T)$ gravity theory with anisotropic backgrounds, deriving exact solutions and analyzing cosmological implications, highlighting the significance of the trace term in generating important universe models.

## Contribution

It introduces a power law $f( ext{G},T)$ model in anisotropic settings, providing exact solutions and reconstructing cosmologically relevant models, emphasizing the role of the trace term.

## Key findings

- Derived exact solutions for anisotropic $f( ext{G},T)$ gravity
- Reconstructed cosmological models with physical quantities
- Proposed a Starobinsky-like $f_2(T)$ model for universe behavior

## Abstract

This paper is devoted to investigate the recently introduced $f(\mathcal{G},\textit{T})$ theory of gravity, where $\mathcal{G}$ is the Gauss-Bonnet term, and ${\textit{T}}$ is the trace of the energy-momentum tensor. For this purpose, anisotropic background is chosen and a power law $f(\mathcal{G},\textit{T})$ 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 $f_2(\textit{T})$ 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 $\textit{T}$ in the bivariate function $f(\mathcal{G},\textit{T})$ may give many cosmologically important solutions of the field equations.