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

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In this paper a non-diagonal, spherically symmetric, tetrad field that contains an arbitrary function, S(r), which corresponds to a local Lorentz transformation, is applied to the field equations of f(T) gravity theories. Analytic vacuum solutions with integration constants are derived. These constants are studied by calculating the total conserved charge associated with each solution. The study shows that the obtained solutions represent the Schwarzschild-Ads spacetime. © 2013 Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica.

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