Tilted congruence with big rip singularity in f(T) theory of gravity

Abstract

In this paper, tilted congruence with big rip singularity in f(T) theory of gravity is presented. f(T) theory of gravity is the generalization of the Teleparallel theory of gravity, where [Formula: see text] is the torsion scalar. In this work, tilted model is studied in which the three-velocity represents additional degree of freedom and tilted model detected the presence of dissipative processes including gravitational radiation. The solution of the field equations is explored by using the stiff fluid, power law of velocity field and a linear relationship between [Formula: see text] and [Formula: see text]. In this paper, the big bang and big rip singularity are observed. The cosmological evolution in f(T) model is examined. The physical and geometrical phases of the models are also investigated.