Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-05-23
Phys.Rev. D61 (2000) 104002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LateX, 10 pages, Physical Review D 104002 (2000)
Scientific paper
10.1103/PhysRevD.61.104002
A new prescription to calculate the total energies and angular momenta of asymptotically $(d+1)$-dimensional anti-de Sitter spacetimes is proposed. The method is based on an extension of the field theoretical approach to General Relativity to the case where there is an effective cosmological constant. A $(d-1)$-form $\Omega$ is exhibited which, when integrated on asymptotic $(d-1)$-dimensional boundary surfaces, yields the values of those conserved quantities. The calculations are gauge independent once asymptotic conditions are not violated . Total energies and angular momenta of some known solutions in four and five dimensions are calculated agreeing with standard results.
da Silva Romulo Rodrigues
Pinto-Neto Nelson
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