Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-05-08
Phys.Rev.D73:124017,2006
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
36 pages, Revtex, no figures; small changes, published version
Scientific paper
10.1103/PhysRevD.73.124017
We discuss the properties of the gravitational energy-momentum 3-form within the tetrad formulation of general relativity theory. We derive the covariance properties of the quantities describing the energy-momentum content under Lorentz transformations of the tetrad. As an application, we consider the computation of the total energy (mass) of some exact solutions of Einstein's general relativity theory which describe compact sources with asymptotically flat spacetime geometry. As it is known, depending on the choice of tetrad frame, the formal total integral for such configurations may diverge. We propose a natural regularization method which yields finite values for the total energy-momentum of the system and demonstrate how it works on a number of explicit examples.
Rubilar Guillermo F.
~Obukhov Yuri N.
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