Abstract
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.
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Aguirregabiria, J.M., Chamorro, A. & Virbhadra, K.S. Energy and angular momentum of charged rotating black holes. Gen Relat Gravit 28, 1393–1400 (1996). https://doi.org/10.1007/BF02109529
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DOI: https://doi.org/10.1007/BF02109529