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Schwarzschild-NUT solution in modified teleparallel gravity theory |
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| Authors: | Gamal G L Nashed |
| Institution: | 1. Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt 2. Centre for Theoretical Physics, The British University in Egypt, Sherouk City, 11837, P.O. Box 43, Egypt 3. Egyptian Relativity Group (ERG), Giza, Egypt |
| Abstract: | Spherically symmetric tetrad field is applied to the field equation of modified teleparallel gravity theory. Some constraints are assumed on the resulting non-linear partial differential equations. Exact vacuum solution is derived with two constants of integration. The derived solution has a vanishing scalar torsion, i.e., T=T μ νλ S μ νλ =0 and its space-time is axially symmetric. It is shown that this solution can be rewritten as a product of three matrices, two local Lorentz transformations and one diagonal tetrad field. The local Lorentz transformations represent “so(3)” and a boost transformation and the diagonal tetrad reproduce the same metric field of the original tetrad. |
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