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

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作者
Gamal G. L. Nashed
机构
[1] The British University in Egypt,Centre for Theoretical Physics
[2] Ain Shams University,Mathematics Department, Faculty of Science
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Field Equation; Cosmological Constant; Gravity Theory; Weyl Tensor; Energy Momentum Tensor;
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摘要
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.
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