Energy and spatial momentum of charged rotating frames in tetrad gravity

doi:10.1088/1674-1056/20/11/110401

Abstract We compute the total energy and the spatial momentum of four charged rotating (Kerr-Newman) frames by using the gravitational energy-momentum 3-form within the framework of the tetrad formulation of the general relativity theory. We show how the effect of the inertial always makes the total energy divergent. We use a natural regularization method, which yields the physical value for the total energy of the system. We show how the regularization method works on a number of different rotating frames that are related to each other by the local Lorentz transformation. We also show that the inertial has no effect on the spatial momentum components.

Keywords: teleparallel gravity energy-momentum Weitzenb?ck connection regularization teleparallelism

Received: 27 April 2011
Revised: 02 June 2011
Accepted manuscript online:

PACS:	04.20.-q	(Classical general relativity)
	04.20.Cv	(Fundamental problems and general formalism)
	04.20.Jb	(Exact solutions)
	04.50.Kd	(Modified theories of gravity)

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Gamal G.L. Nashed Energy and spatial momentum of charged rotating frames in tetrad gravity 2011 Chin. Phys. B 20 110401

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[1]	Energy, momentum and angular momentum in the dyadosphere of a charged spacetime in teleparallel equivalent of general relativity Gamal G.L. Nashed . Chin. Phys. B, 2012, 21(3): 030401.
[2]	Energy and momentum of general spherically symmetric frames on the regularizing teleparallelism Gamal G.L. Nashed . Chin. Phys. B, 2012, 21(1): 010401.
[3]	Energy and momentum of rotating frames in tetrad gravity Gamal G L Nashed . Chin. Phys. B, 2011, 20(10): 100402.

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Energy and spatial momentum of charged rotating frames in tetrad gravity

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