Affiliation:
1. Department of Mathematics and Statistics, Dalhousie University, Halifax, NS B3H 3J5, Canada
Abstract
In this paper, we investigate time-dependent Kantowski–Sachs spherically symmetric teleparallel F(T) gravity in vacuum and in a perfect isotropic fluid. We begin by finding the field equations and solve for new teleparallel F(T) solutions. With a power-law ansatz for the co-frame functions, we find new non-trivial teleparallel F(T) vacuum solutions. We then proceed to find new non-trivial teleparallel F(T) solutions in a perfect isotropic fluid with both linear and non-linear equations of state. We find a great number of new exact and approximated teleparallel F(T) solutions. These classes of new solutions are relevant for future cosmological applications.
Funder
Atlantic Association of Research in Mathematical Sciences (AARMS) fellowship