Energy and momentum of rotating frames in tetrad gravity

doi:10.1088/1674-1056/20/10/100402

Abstract Within the framework of the tetrad formulation of general relativity theory, we compute the total energy and momentum of four rotating frames using the gravitational energy-momentum 3-form. We show how the effect of inertia always makes the total energy divergent. We use a natural regularization method to obtain physical values for the total energy of the system and show how it works on a number of explicit examples. We also show by calculation that inertia has no effect on the momentum components.

Keywords: teleparallel gravity energy-momentum Weitzenböck connection regularization teleparallelism

Received: 24 December 2010
Revised: 21 April 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 momentum of rotating frames in tetrad gravity 2011 Chin. Phys. B 20 100402

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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 spatial momentum of charged rotating frames in tetrad gravity Gamal G.L. Nashed . Chin. Phys. B, 2011, 20(11): 110401.

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Energy and momentum of rotating frames in tetrad gravity

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