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Energy and angular momentum of charged rotating black holes. (English) Zbl 0863.53065
Summary: We show that the pseudotensors of Einstein, Tolman, Landau and Lifshitz, Papapetrou, and Weinberg essentially coincide for any Kerr-Schild metric if calculations are carried out in Kerr-Schild Cartesian coordinates. This generalizes a previous result by Gürses and Gürsey that dealt only with the pseudotensors of Einstein and Landau-Lifshitz. We compute exactly the energy and angular momentum distributions for the Kerr-Newman metric in Kerr-Schild Cartesian coordinates and compare the results with those obtained by using different definitions of quasilocal mass, which unlike pseudotensors do not agree for all Kerr-Schild metrics.

MSC:
53Z05 Applications of differential geometry to physics
83C57 Black holes
83C40 Gravitational energy and conservation laws; groups of motions
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