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Local Lorentz transformation and exact solution in f(T) gravity theories |
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| Authors: | Gamal G. L. Nashed |
| Affiliation: | 1. Centre for Theoretical Physics, The British University in Egypt, Misr-Ismalia Desert Road, P.O. Box 43, 11837, El-Sherouk City, Egypt 2. Basic science, Faculty of Engineering, The British University in Egypt, Misr-Ismalia Desert Road, P.O. Box 43, 11837, El-Sherouk City, Egypt 3. Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt 4. Egyptian Relativity Group (ERG), Giza, Egypt |
| Abstract: | A general tetrad fields, with an arbitrary function of radial coordinate, preserving spherical symmetry, is provided. Such tetrad is split into two matrices: The first matrix represents a Local Lorentz Transformation (LLT), which contains an arbitrary function. The second matrix represents a proper tetrad fields which satisfy the field equations of f(T) gravitational theory. This general tetrad is applied to the field equations of f(T). We derive a solution with one constant of integration to the resulting field equations of f(T). This solution gives a vanishing value of the scalar torsion. We calculate the energy associated with this solution to investigate what is the nature of the constant of integration. |
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