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• W2016588125 abstract "The Noether-charge and the Hamiltonian realizations for the $mathrm{diff}(mathcal{M})$ algebra in diffeomorphism-invariant gravitational theories without a cosmological constant in any dimension are studied in a covariant formalism. We analyze how the Hamiltonian functionals form the $mathrm{diff}(mathcal{M})$ algebra under the Poisson brackets and show how the Noether charges with respect to the diffeomorphism generated by the vector fields and their variations in n-dimensional general relativity form this algebra. The asymptotic behaviors of vector fields generating diffeomorphism of the manifold with boundaries are discussed. It is shown that the ``central extension'' for a large class of vector fields is always zero on the Killing horizon. We also check whether choosing the vector fields near the horizon may pick up the Virasoro algebra. The conclusion is unfortunately negative in any dimension." @default.
• W2016588125 created "2016-06-24" @default.
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• W2016588125 date "2003-11-07" @default.
• W2016588125 modified "2023-09-26" @default.
• W2016588125 title "Diffeomorphism invariance and black hole entropy" @default.
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• W2016588125 doi "https://doi.org/10.1103/physrevd.68.104006" @default.
• W2016588125 hasPublicationYear "2003" @default.
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