Gravitational energy in asymptotically anti-de Sitter spacetimes

Physics

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Fundamental Problems And General Formalism, Asymptotic Structure

Scientific paper

The prescription proposed by Komar in order to calculate the total gravitational mass acting on a test particle in a given stationary asymptotically flat spacetime is generalized to stationary asymptotically anti-de Sitter spacetimes. It is shown that this generalized Komar mass is different from the total gravitational energy calculated by Henneaux and Teitelboim for the Kerr-anti-de Sitter spacetime. This last total energy agrees, however, with the total charge-energy calculated using the Brown-York action formalism.

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