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Chin. Phys. B, 2013, Vol. 22(2): 020401    DOI: 10.1088/1674-1056/22/2/020401
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Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity

Gamal G. L. Nasheda b
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
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.
Keywords:  (N+1)-dimensional teleparallel equivalent of general relativity      five-dimensional solution      energy and momentum  
Received:  05 April 2012      Revised:  03 September 2012      Published:  01 January 2013
PACS:  04.20.Jb (Exact solutions)  
  04.50.-h (Higher-dimensional gravity and other theories of gravity)  
  04.50.Gh (Higher-dimensional black holes, black strings, and related objects)  
  04.50.Kd (Modified theories of gravity)  
Corresponding Authors:  Gamal G. L. Nashed     E-mail:  nashed@bue.edu.edu.eg

Cite this article: 

Gamal G. L. Nashed Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity 2013 Chin. Phys. B 22 020401

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