Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-04-07
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, Latex file, no figures. The calculation of the energy inside a surface of constant radius, in the limit of small spe
Scientific paper
In the teleparallel equivalent of general relativity the energy density of asymptoticaly flat gravitational fields can be naturally defined as a scalar density restricted to a three dimensional spacelike hypersurface. The scalar density has simple expression in terms of the trace of the torsion tensor. Here we obtain the formal expression of the localized energy for a Kerr black hole. The energy inside a surface of constant radius can be explicitly calculated in the limit of small $a$, the specific angular momentum. Such expression turns out to be exactly the same as the one obtained by means of the method recently proposed by Brown and York.
Kneip Andreas
Maluf Jose W.
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