Analysis of Marder’s Space-Time Tsallis Holographic Dark Energy Cosmological Model in f(R, T) Theory of Gravity

In this paper, the investigation explores an anisotropic cosmological model based on Marder’s space-time Tsallis holographic dark energy (THDE) within the framework of f(R, T) theory of gravity, where R represents the Ricci scalar and T signifies the trace of the stress energy-momentum tensor. field equation have solved for class of f(R, T) gravity i.e. f(R, T) = R + f(T). To obtain the precise solution, we employed the density of the THDE model along with the volumetric expansion laws, namely the power law and exponential law. Also explores the physical and geometrical aspects of the model.