Higher-dimensional Bianchi type-V space–time with Tsallis holographic dark energy in f(R, T) theory of gravitation

Abstract

We investigate the cosmological dynamics of an anisotropic Bianchi type-V universe in the framework of f(R, T) gravity with Tsallis holographic dark energy (THDE). By considering power law and exponential volumetric expansions, we analyze the evolution of key cosmological parameters and their implications for late-time acceleration. The model's behavior is examined through energy conditions, state finder diagnostics, and stability analysis. Our results indicate that the interplay between anisotropy, modified gravity, and THDE can produce a viable cosmic evolution, transitioning from deceleration to acceleration. To enhance the physical relevance, we compare our findings with observational Hubble data, providing preliminary parameter constraints. This study contributes to the understanding of alternative dark energy models. Our exponential model leads to perpetual acceleration as seen in a de Sitter universe.