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Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity
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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.
Forward citations
Cited by 3 Pith papers
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All symmetry groups of pp-waves in teleparallel gravity
A complete symmetry classification for teleparallel pp-wave spacetimes, including two previously missed solutions in general relativity.
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Traversable Wormhole Solutions in massive $F(T)$ gravity
In massive F(T) gravity, exact traversable wormhole solutions exist whose throats are supported by the graviton mass term, with matter that satisfies standard energy conditions in selected parameter ranges.
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Cosmological solutions in teleparallel $F(T,B)$ gravity
A catalog of power-law F(T,B) gravity functions that solve teleparallel Robertson-Walker field equations for linear, quadratic, and scalar-field sources.
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