Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity

doi:10.1088/1674-1056/22/2/020401

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
Accepted manuscript online:

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

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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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[1]	Five-dimensional teleparallel theory equivalent to general relativity, the axially symmetric solution, energy and spatial momentum Gamal G.L. Nashed . Chin. Phys. B, 2011, 20(11): 110402.

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