Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity

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 coframe 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 equation 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.

41 pages, no figure

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Cited by in corpus (6)

• Cosmological solutions in teleparallel $F(T,B)$ gravity
• Scalar Field Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity
• Scalar field source Teleparallel Robertson-Walker F(T)-gravity solutions
• Electromagnetic Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity
• Chaplygin and Polytropic gases Teleparallel Robertson-Walker $F(T)$ gravity solutions
• Electromagnetic Sources Teleparallel Robertson--Walker $F(T)$-Gravity Solutions