Five-dimensional teleparallel theory equivalent to general relativity, the axially symmetric solution, energy and spatial momentum

doi:10.1088/1674-1056/20/11/110402

Abstract A theory of (4+1)-dimensional gravity is developed on the basis of the teleparallel theory equivalent to general relativity. The fundamental gravitational field variables are the five-dimensional vector fields (pentad), defined globally on a manifold M, and gravity is attributed to the torsion. The Lagrangian density is quadratic in the torsion tensor. We then give the exact five-dimensional solution. The solution is a generalization of the familiar Schwarzschild and Kerr solutions of the four-dimensional teleparallel equivalent of general relativity. We also use the definition of the gravitational energy to calculate the energy and the spatial momentum.

Keywords: five-dimensional teleparallel equivalent of general relativity five-dimensional solution energy and spatial momentum

Received: 27 April 2011
Revised: 09 June 2011
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)

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

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[1]	Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity Gamal G. L. Nashed. Chin. Phys. B, 2013, 22(2): 020401.

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Five-dimensional teleparallel theory equivalent to general relativity, the axially symmetric solution, energy and spatial momentum

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