Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity |
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Authors: | Gamal G L Nashed |
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Institution: | a Center for Theoretical Physics, British University in Egypt, Sherouk City 11837, P. O. Box 43, Egypt;b Mathematics Department, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt |
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Abstract: | A theory of (N+1)-dimensional gravity is developed on the basis of the teleparallel equivalent of general relativity (TEGR). The fundamental gravitational field variables are the (N+1)-dimensional vector fields, defined globally on a manifold M, and the gravitational field is attributed to the torsion. The form of Lagrangian density is quadratic in torsion tensor. We then, give an exact five-dimensional spherically symmetric solution (Schwarzschild (4+1)-dimensions). Finally, we calculate energy and spatial momentum using gravitational energy-momentum tensor and superpotential 2-form. |
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Keywords: | (N+1)-dimensional teleparallel equivalent of general relativity five-dimensional solution energy and momentum |
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