Spherically Symmetric Solution in (1+4)-Dimensional f(T) Gravity Theories
A nondiagonal spherically symmetric tetrad field, involving four unknown functions of radial coordinate r plus an angle Φ, which is a generalization of the azimuthal angle ϕ, is applied to the field equations of (1+4)-dimensional f(T) gravity theory. A special vacuum solution with one constant of in...
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/830109 |
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| author | Gamal G. L. Nashed |
| author_facet | Gamal G. L. Nashed |
| author_sort | Gamal G. L. Nashed |
| collection | DOAJ |
| description | A nondiagonal spherically symmetric tetrad field, involving four unknown functions of radial coordinate r plus an angle Φ, which is a generalization of the azimuthal angle ϕ, is applied to the field equations of (1+4)-dimensional f(T) gravity theory. A special vacuum solution with one constant of integration is derived. The physical meaning of this constant is shown to be related to the gravitational mass of the system and the associated metric represents Schwarzschild in (1+4)-dimension. The scalar torsion related to this solution vanishes. We put the derived solution in a matrix form and rewrite it as a product of three matrices: the first represents a rotation while the second represents an inertia and the third matrix is the diagonal square root of Schwarzschild spacetime in (1+4)-dimension. |
| format | Article |
| id | doaj-art-b7c6b62bde5546cfbb9b195d50859ed6 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-b7c6b62bde5546cfbb9b195d50859ed62025-02-03T01:25:20ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/830109830109Spherically Symmetric Solution in (1+4)-Dimensional f(T) Gravity TheoriesGamal G. L. Nashed0Centre for Theoretical Physics, The British University in Egypt, P.O. Box 43, Shorouk City 11837, EgyptA nondiagonal spherically symmetric tetrad field, involving four unknown functions of radial coordinate r plus an angle Φ, which is a generalization of the azimuthal angle ϕ, is applied to the field equations of (1+4)-dimensional f(T) gravity theory. A special vacuum solution with one constant of integration is derived. The physical meaning of this constant is shown to be related to the gravitational mass of the system and the associated metric represents Schwarzschild in (1+4)-dimension. The scalar torsion related to this solution vanishes. We put the derived solution in a matrix form and rewrite it as a product of three matrices: the first represents a rotation while the second represents an inertia and the third matrix is the diagonal square root of Schwarzschild spacetime in (1+4)-dimension.http://dx.doi.org/10.1155/2014/830109 |
| spellingShingle | Gamal G. L. Nashed Spherically Symmetric Solution in (1+4)-Dimensional f(T) Gravity Theories Advances in High Energy Physics |
| title | Spherically Symmetric Solution in (1+4)-Dimensional f(T) Gravity Theories |
| title_full | Spherically Symmetric Solution in (1+4)-Dimensional f(T) Gravity Theories |
| title_fullStr | Spherically Symmetric Solution in (1+4)-Dimensional f(T) Gravity Theories |
| title_full_unstemmed | Spherically Symmetric Solution in (1+4)-Dimensional f(T) Gravity Theories |
| title_short | Spherically Symmetric Solution in (1+4)-Dimensional f(T) Gravity Theories |
| title_sort | spherically symmetric solution in 1 4 dimensional f t gravity theories |
| url | http://dx.doi.org/10.1155/2014/830109 |
| work_keys_str_mv | AT gamalglnashed sphericallysymmetricsolutionin14dimensionalftgravitytheories |