Tsallis Holographic Dark Energy in Bianchi Type I Universe in the Framework of \(\boldsymbol{f(R)}\) Theory of Gravity

We consider a Bianchi Type I universe filled with cold dark matter and non-interacting Tsallis holographic dark energy in the framework of \(f(R)\) theory of gravity. We take the GO scale as an IR cutoff and find exact solutions of the field equations by considering a linearly varying deceleration parameter. The evolution of different cosmologically relevant parameters are studied graphically, and Statefinder diagnostics is performed in the light of recent cosmological observations. We find that our model corresponds to current accelerated expansion scenarios, and the function \(f(R)\approx R\) implies that our model resembles General Relativity.