A special exact spherically symmetric solution in f(T) gravity theories

G.G.L. Nashed

A special exact spherically symmetric solution in f(T) gravity theories

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arxiv 1502.05219 v1 pith:NZEAIPVH submitted 2015-02-17 gr-qc

G.G.L. Nashed This is my paper · ORCID

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keywords solutionspecialconstantexactgravityintegrationrelatedspherically

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abstract

A non-diagonal spherically symmetric tetrad field, involving four unknown functions of radial coordinate $r$, is applied to the equations of motion of f(T) gravity theory. A special exact vacuum solution with one constant of integration is obtained. The scalar torsion related to this special solution vanishes. To understand the physical meaning of the constant of integration we calculate the energy associated with this solution and show how it is related to the gravitational mass of the system.

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Rotating and non-rotating AdS black holes in $f({\cal T})$ gravity non-linear electrodynamics
gr-qc 2019-08 conditional novelty 4.0 of 10

New charged AdS black hole solutions are constructed for quadratic f(T) gravity with a specific nonlinear electrodynamics source, generalizing earlier Maxwell solutions and producing entropy that deviates from the area law.

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