Axially Symmetric-dS Solution in Teleparallel f(T) Gravity Theories
We apply a tetrad field with six unknown functions to Einstein field equations. Exact vacuum solution, which represents axially symmetric-dS spacetime, is derived. We multiply the tetrad field of the derived solution by a local Lorentz transformation which involves a generalization of the angle ϕ an...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/915928 |
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| author | Gamal G. L. Nashed |
| author_facet | Gamal G. L. Nashed |
| author_sort | Gamal G. L. Nashed |
| collection | DOAJ |
| description | We apply a tetrad field with six unknown functions to Einstein field equations. Exact vacuum solution, which represents axially symmetric-dS spacetime, is derived. We multiply the tetrad field of the derived solution by a local Lorentz transformation which involves a generalization of the angle ϕ and get a new tetrad field. Using this tetrad, we get a differential equation from the scalar torsion T=TαμνSαμν. Solving this differential equation we obtain a solution to the f(T) gravity theories under certain conditions on the form of f(T) and its first derivatives. Finally, we calculate the scalars of Riemann Christoffel tensor, Ricci tensor, Ricci scalar, torsion tensor, and its contraction to explain the singularities associated with this solution. |
| format | Article |
| id | doaj-art-59fda2adf71e45378e20515e632aa7ff |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-59fda2adf71e45378e20515e632aa7ff2025-02-03T01:12:12ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/915928915928Axially Symmetric-dS Solution in Teleparallel f(T) Gravity TheoriesGamal G. L. Nashed0Centre for Theoretical Physics, The British University in Egypt, P.O. Box 43, Shorouk City 11837, EgyptWe apply a tetrad field with six unknown functions to Einstein field equations. Exact vacuum solution, which represents axially symmetric-dS spacetime, is derived. We multiply the tetrad field of the derived solution by a local Lorentz transformation which involves a generalization of the angle ϕ and get a new tetrad field. Using this tetrad, we get a differential equation from the scalar torsion T=TαμνSαμν. Solving this differential equation we obtain a solution to the f(T) gravity theories under certain conditions on the form of f(T) and its first derivatives. Finally, we calculate the scalars of Riemann Christoffel tensor, Ricci tensor, Ricci scalar, torsion tensor, and its contraction to explain the singularities associated with this solution.http://dx.doi.org/10.1155/2015/915928 |
| spellingShingle | Gamal G. L. Nashed Axially Symmetric-dS Solution in Teleparallel f(T) Gravity Theories Advances in High Energy Physics |
| title | Axially Symmetric-dS Solution in Teleparallel f(T) Gravity Theories |
| title_full | Axially Symmetric-dS Solution in Teleparallel f(T) Gravity Theories |
| title_fullStr | Axially Symmetric-dS Solution in Teleparallel f(T) Gravity Theories |
| title_full_unstemmed | Axially Symmetric-dS Solution in Teleparallel f(T) Gravity Theories |
| title_short | Axially Symmetric-dS Solution in Teleparallel f(T) Gravity Theories |
| title_sort | axially symmetric ds solution in teleparallel f t gravity theories |
| url | http://dx.doi.org/10.1155/2015/915928 |
| work_keys_str_mv | AT gamalglnashed axiallysymmetricdssolutioninteleparallelftgravitytheories |