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.
Schwarzschild solution in extended teleparallel gravity
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abstract
Tetrad field, with two unknown functions of radial coordinate and an angle $\Phi$ which is the polar angle $\phi$ times a function of the redial coordinate, is applied to the field equation of modified theory of gravity. Exact vacuum solution is derived whose scalar torsion, $T ={T^\alpha}_{\mu \nu} {S_\alpha}^{\mu \nu}$, is constant. When the angle $\Phi$ coincides with the polar angle $\phi$, the derived solution will be a solution only for linear form of $f(T)$ gravitational theory.
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gr-qc 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Rotating and non-rotating AdS black holes in $f({\cal T})$ gravity non-linear electrodynamics
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.