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Conserved charges in even dimensional asymptotically locally anti-de Sitter space-times. (English) Zbl 1226.83049

Summary: Based on the recent paper [S. Hollands, A. Ishibashi, D. Marolf, Comparison between various notions of conserved charges in asymptotically AdS-spacetimes, arXiv:hep-th/0503045], we derive a formula of calculating conserved charges in even dimensional asymptotically locally anti-de Sitter space-times by using the definition of Wald and Zoupas. This formula generalizes the one proposed by Ashtekar et al. Using the new formula we compute the masses of Taub-Bolt-AdS space-times by treating Taub-Nut-AdS space-times as the reference solution. Our result agrees with those resulting from “background subtraction” method or “boundary counterterm” method. We also calculate the conserved charges of Kerr-Taub-Nut-AdS solutions in four dimensions and higher dimensional Kerr-AdS solutions with Nut charges. The mass of (un)wrapped brane solutions in any dimension is given.

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories
83E30 String and superstring theories in gravitational theory
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