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On the Energy of Stringy Black Holes

Irina Radinschi·I-Ching Yang
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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 Møller. 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 Møller 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 Møller prescription. The Møller energy-momentum complex gives us a consistent result for these three situations. Keywords: Møller energy-momentum complex, charged black hole solution in heterotic string theory PACS: 04. 20 Dw, 04. 70. Bw,

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Irina Radinschi, I-Ching Yang. 2004-06-14. On the Energy of Stringy Black Holes. https://arxiv.org/abs/gr-qc/0405118

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