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Advances in High Energy Physics
Volume 2014 (2014), Article ID 830109, 8 pages
http://dx.doi.org/10.1155/2014/830109
Research Article

Spherically Symmetric Solution in (1+4)-Dimensional Gravity Theories

1Centre for Theoretical Physics, The British University in Egypt, P.O. Box 43, Shorouk City 11837, Egypt
2Mathematics Department, Faculty of Science, Ain Shams University, Cairo 11566, Egypt
3Egyptian Relativity Group (ERG), Cairo University, Giza 12613, Egypt

Received 16 June 2014; Revised 1 October 2014; Accepted 5 October 2014; Published 23 October 2014

Academic Editor: Chao-Qiang Geng

Copyright © 2014 Gamal G. L. Nashed. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

A nondiagonal spherically symmetric tetrad field, involving four unknown functions of radial coordinate plus an angle , which is a generalization of the azimuthal angle , is applied to the field equations of (1+4)-dimensional 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.