About this Journal Submit a Manuscript Table of Contents
Advances in High Energy Physics
Volume 2012 (2012), Article ID 475460, 14 pages
http://dx.doi.org/10.1155/2012/475460
Research Article

Kerr-Taub-NUT General Frame, Energy, and Momentum in Teleparallel Equivalent of General Relativity

1Mathematics Department, Faculty of Science, King Faisal University, P.O. Box 380, Al-Ahsaa 31982, Saudi Arabia
2Mathematics Department, Faculty of Science, Ain Shams University, Cairo 11566, Egypt
3Center for Theoretical Physics, British University of Egypt, P.O. Box 43, Sherouk City 11837, Egypt
4Egyptian Relativity Group (ERG), Egypt

Received 29 December 2011; Revised 16 March 2012; Accepted 1 April 2012

Academic Editor: A. Petrov

Copyright © 2012 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.

Abstract

A new exact solution describing a general stationary and axisymmetric object of the gravitational field in the framework of teleparallel equivalent of general relativity (TEGR) is derived. The solution is characterized by three parameters “the gravitational mass 𝑀 , the rotation π‘Ž , and the NUT 𝐿 .” The vierbein field is axially symmetric, and the associated metric gives the Kerr-Taub-NUT spacetime. Calculation of the total energy using two different methods, the gravitational energy momentum and the Riemannian connection 1-form ξ‚‹ Ξ“ 𝛼 𝛽 , is carried out. It is shown that the two methods give the same results of energy and momentum. The value of energy is shown to depend on the mass 𝑀 and the NUT parameter 𝐿 . If 𝐿 is vanishing, then the total energy reduced to the energy of Kerr black hole.