Gravitational energy of rotating black holes
| Autor: | José W. Maluf, Andreas Kneip, E. F. Martins |
|---|---|
| Rok vydání: | 1996 |
| Předmět: |
Physics
General relativity Scalar (mathematics) FOS: Physical sciences Statistical and Nonlinear Physics General Relativity and Quantum Cosmology (gr-qc) Specific relative angular momentum General Relativity and Quantum Cosmology Reference space Gravitational energy Hypersurface Rotating black hole Gravitational field Mathematical Physics Mathematical physics |
| Zdroj: | Journal of Mathematical Physics. 37:6302-6310 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.531778 |
| Popis: | In the teleparallel equivalent of general relativity the energy density of asymptotically flat gravitational fields can be naturaly defined as a scalar density restricted to a three-dimensional spacelike hypersurface $\Sigma$. Integration over the whole $\Sigma$ yields the standard ADM energy. After establishing the reference space with zero gravitational energy we obtain the expression of the localized energy for a Kerr black hole. The expression of 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 preposed recently by Brown and York. We also calculate the energy contained within the outer horizon of the black hole for {\it any} value of $a$. The result is practically indistinguishable from $E=2M_{ir}$, where $M_{ir}$ is the irreducible mass of the black hole. Comment: 18 pages, LaTex file, one figure |
| Databáze: | OpenAIRE |
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