Kerr-Taub-NUT general frame, energy, and momentum in teleparallel equivalent of general relativity
type: Item
instance of: scholarly article
title: Kerr-Taub-NUT general frame, energy, and momentum in teleparallel equivalent of general relativity
zbMATH Open document ID: 1263.83140
DOI: 10.1155/2012/475460
published in: Advances in High Energy Physics
publication date: 2013-05-21T00:00:00Z
review text: Summary: 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 \(a\), 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 \(\tilde{\Gamma}_{\alpha}^{\beta}\), 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.
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83C15
Mathematics Subject Classification ID: 83C57
zbMATH DE Number: 6164455
Wikidata QID: Q58698422
author: Gamal G. L. Nashed
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/475460
OpenAlex ID: W2056232855
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description: scientific article; zbMATH DE number 6164455