Local Lorentz transformation and exact spherically symmetric vacuum solutions in f(T) gravity theories

Abstract

Applying a non-diagonal spherically symmetric tetrad field having arbitrary function, $S(r)$, that is corresponding to local Lorentz transformation, to the field equations of f(T) gravity theories. An analytic vacuum solutions with constants of integration are derived. These constants are studied by calculating the total conserved charge associated to each solution. The study has shown that the obtained solutions represent Schwarzschild-Ads spacetime.

This paper has been withdrawn by the author

References in corpus (12)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• Observational constraints on $f(T)$ theory
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Good and bad tetrads in f(T) gravity
• $f(T)$ models with phantom divide line crossing
• On reference frames in spacetime and gravitational energy in freely falling frames
• Pure kinetic k-essence as the cosmic speed-up
• Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry

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• Gravity theory in SAP-geometry