The grand-canonical thermodynamic potential for Bose and Fermi fields in anti--de Sitter spacetime is introduced and a Mellin complex representation is given. This is used to investigate the high ...temperature properties of the thermal state at finite charge. The timelike nature of spatial infinity is shown to act as a boundary, and changes the free energy of the field in thermal equilibrium.
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Phys.Rev.D50:5148-5154,1994 The grand-canonical thermodynamic potential for Bose and Fermi fields in
anti-de Sitter space-time is introduced and a Mellin complex representation is
given. This is used ...to investigate the high temperature properties of the
thermal state at finite charge. The time-like nature of spatial infinity is
shown to act as a boundary, and changes the free energy of the field in thermal
equilibrium.
The instability against emission of massless particles by the trapping horizon of an evolving black hole is analyzed with the use of the Hamilton-Jacobi method. The method automatically selects one ...special expression for the surface gravity of a changing horizon. Indeed, the strength of the horizon singularity turns out to be governed by the surface gravity as was defined a decade ago by Hayward using Kodama's theory of spherically symmetric gravitational fields. The theory also applies to point masses embedded in an expanding universe, were the surface gravity is still related to Kodama-Hayward theory. As a bonus of the tunneling method, we gain the insight that the surface gravity still defines a temperature parameter as long as the evolution is sufficiently slow that the black hole pass through a sequence of quasi-equilibrium states.
JHEP 0010 (2000) 005 The boundary terms in the Hamiltonian, in the presence of horizons, are
carefully analyzed in a simple 2D theory admitting AdS black holes. The
agreement between the euclidean ...approach and Cardy's formula is obtained modulo
certain assumptions on the spectrum of the Virasoro's algebra. There is no
discrepancy factor "square root of 2" once the appropriate boundary conditions
are properly recognized. The peculiar features of gravity, that the on-shell
Hamiltonian is determined by boundary terms, is the reason of the mentioned
agreement.
The grand-canonical thermodynamic potential for Bose and Fermi fields in anti-de Sitter space-time is introduced and a Mellin complex representation is given. This is used to investigate the high ...temperature properties of the thermal state at finite charge. The time-like nature of spatial infinity is shown to act as a boundary, and changes the free energy of the field in thermal equilibrium.
The boundary terms in the Hamiltonian, in the presence of horizons, are carefully analyzed in a simple 2D theory admitting AdS black holes. The agreement between the euclidean approach and Cardy's ...formula is obtained modulo certain assumptions on the spectrum of the Virasoro's algebra. There is no discrepancy factor "square root of 2" once the appropriate boundary conditions are properly recognized. The peculiar features of gravity, that the on-shell Hamiltonian is determined by boundary terms, is the reason of the mentioned agreement.
Phys.Rev. D52 (1995) 4548-4553 The first quantum corrections to the entropy for an eternal 4-dimensional
extremal Reissner-Nordstr\"om black hole is investigated at one-loop level, in
the large mass ...limit of the black hole, making use of the conformal techniques
related to the optical metric. A leading cubic horizon divergence is found and
other divergences appear due to the singular nature of the optical manifold.
The area law is shown to be violated.
The first quantum corrections to the entropy for an eternal 4-dimensional extremal Reissner-Nordstr\"om black hole is investigated at one-loop level, in the large mass limit of the black hole, making ...use of the conformal techniques related to the optical metric. A leading cubic horizon divergence is found and other divergences appear due to the singular nature of the optical manifold. The area law is shown to be violated.
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