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On the Energy of Stringy Black Holes

General Relativity and Quantum Cosmology 2007-05-23 v3

Abstract

It is well-known that one of the most interesting and challenging problems of General Relativity is the energy and momentum localization. There are many attempts to evaluate the energy distribution in a general relativistic system. One of the methods used for the energy and momentum localization is the one which used the energy-momentum complexes. After the Einstein work, a large number of definitions for the energy distribution was given. We mention the expressions proposed by Landau and Lifshitz, Papapetrou, Bergmann, Weinberg and M{\o}ller. The Einstein, Landau and Lifshitz, Papapetrou, Bergmann and Weinberg energy-momentum complexes are restricted to calculate the energy distribution in quasi-Cartesian coordinates. The energy-momentum complex of M{\o}ller gives the possibility to make the calculations in any coordinate system. In this paper we calculate the energy distribution of three stringy black hole solutions in the M{\o}ller prescription. The M{\o}ller energy-momentum complex gives us a consistent result for these three situations. Keywords: M{\o}ller energy-momentum complex, charged black hole solution in heterotic string theory PACS: 04. 20 Dw, 04. 70. Bw,

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@article{arxiv.gr-qc/0405118,
  title  = {On the Energy of Stringy Black Holes},
  author = {Irina Radinschi and I-Ching Yang},
  journal= {arXiv preprint arXiv:gr-qc/0405118},
  year   = {2007}
}

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