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Energy of General Spherically Symmetric Solution in Tetrad Theory of Gravitation
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abstract
We find the most general, spherically symmetric solution in a special class of tetrad theory of gravitation. The tetrad gives the Schwarzschild metric. The energy is calculated by the superpotential method and by the Euclidean continuation method. We find that unless the time-space components of the tetrad go to zero faster than ${1/\sqrt{r}}$ at infinity, the two methods give results different from each other, and that these results differ from the gravitational mass of the central gravitating body. This fact implies that the time-space components of the tetrad describing an isolated spherical body must vanish faster than ${1/\sqrt{r}}$ at infinity.
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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.
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