Energy Conditions in f(R, T) Gravity with an Anisotropic Background

Abstract: In our study, we explored the properties of a spatially homogeneous and anisotropic Bianchi type V I0 Universe. Our investigation centered on integrating cosmic domain walls into the f(R, T) theory of gravitation, initially proposed by Harko et al. in 2011. To tackle the field equations, we employed the relationship between the expansion scalar ({\theta}) and the shear scalar ({\sigma}). Our analysis encompassed both the dynamic and cosmological aspects of the Universe. By comparing our findings to the {\Lambda}CDM model, specifically focusing on the evolution of the jerk parameter, we found a striking agreement between the two models. A noteworthy discovery was the verification of accelerated expansion in our described model, consistent with the prevailing observational data. Finally, we examine the energy condition criteria and determine that the violation of the Strong Energy Condition (SEC), while the Null Energy Condition (NEC), Weak Energy Condition (WEC) and Dominant Energy Condition (DEC) continue to meet the requirements for positivity.