Scalar Field Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity

Abstract

In this paper, we investigate time-dependent Kantowski--Sachs spherically symmetric teleparallel $F(T)$ gravity with a scalar field source. We begin by setting the exact field equations to be solved and solve conservation laws for possible scalar field potential, $V\left(\varphi \right)$, solutions. Then, we find new non-trivial teleparallel $F(T)$ solutions by using power-law and exponential ansatz for each potential case arising from conservation laws, such as linear, quadratic, or logarithmic, to name a few. We find a general formula allowing us to compute all possible new teleparallel $F(T)$ solutions applicable for any scalar field potential and ansatz. Then, we apply this formula and find a large number of exact and approximate new teleparallel $F(T)$ solutions for several types of cases. Some new $F(T)$ solution classes may be relevant for future cosmological applications, especially concerning dark matter, dark energy quintessence, phantom energy leading to the Big Rip event, and quintom models of physical processes.

65 pages, no figure, 3 tables. Published in Universe

References in corpus (30)

• f(R,T) gravity
• Cosmology and the Fate of Dilatation Symmetry
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Cosmological Evolution of a Quintom Model of Dark Energy
• On Born-Infeld Gravity in Weitzenbock spacetime
• Dynamical behavior in $f(T,T_G)$ cosmology
• Turnaround in Cyclic Cosmology
• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Static spherically symmetric black holes in weak f(T)-gravity
• Matter Conditions for Regular Black Holes in $\mathbf{f}(\mathbf{T})$ Gravity
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Holographic thermalization and gravitational collapse in the spacetime dominated by quintessence dark energy
• Bianchi type-I, type-III and Kantowski-Sachs solutions in f(T) gravity
• Scalarized Black Holes in Teleparallel Gravity
• Kantowski-Sachs Universe Models in $f(T)$ Theory of Gravity
• A frame based approach to computing symmetries with non-trivial isotropy groups
• Revisiting diagonal tetrads: New Black Hole solutions in $f(T)$ gravity
• Thick accretion disk configurations in the Born-Infeld teleparallel gravity
• Spherically symmetric teleparallel geometries
• On spherically symmetric vacuum solutions and horizons in covariant $f(T)$ gravity theory
• Teleparallel Robertson-Walker geometries and applications
• Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity
• Landau levels in a gravitational field: The Levi-Civita and Kerr spacetimes case
• The study of Kantowski-Sachs perfect fluid cosmological model in modified gravity
• Cosmological solutions in teleparallel $F(T,B)$ gravity
• Teleparallel Minkowski Spacetime with Perturbative Approach for Teleparallel Gravity on a Proper Frame
• Dynamical system analysis of quintessence dark energy model
• Kantowski-Sachs cosmology in scalar-torsion theory

Cited by in corpus (2)

• Scalar field source Teleparallel Robertson-Walker F(T)-gravity solutions
• Chaplygin and Polytropic gases Teleparallel Robertson-Walker $F(T)$ gravity solutions