Birkhoff's theorem in two-dimensional dilaton gravity

Louis-Martinez, Domingo J.; Kunstatter, G.

doi:10.1103/physrevd.49.5227

Cited by 94 publications

(181 citation statements)

References 18 publications

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“…As pointed out already above, the fact that the solutions for dilaton theories of type (2.9) can be obtained in analytic form had been tested in many specific cases [168,312,173,391,304,174], always using the conformal gauge…”

Section: General Classical Treatmentmentioning

confidence: 99%

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Dilaton gravity in two dimensions

2002

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The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important examples of spherically symmetric Black Holes, together with string inspired models, belong to this class, valuable knowledge can also be gained for these systems in the quantum case. In the last decade new insights regarding the exact quantization of the geometric part of such theories have been obtained. They allow a systematic quantum field theoretical treatment, also in interactions with matter, without explicit introduction of a specific classical background geometry. The present review tries to assemble these results in a coherent manner, putting them at the same time into the perspective of the quite large literature on this subject.

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Section: General Classical Treatmentmentioning

confidence: 99%

“…e.g. [312,19,349,350,374,373,41,116,311,173,304,303,298]). For their solution throughout these works the conformal or the Schwarzschild gauge have been used, leading to complicated e.o.m.-s, the solution of which often requires considerable mathematical effort.…”

Section: 3)mentioning

confidence: 99%

Dilaton gravity in two dimensions

2002

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“…The outer and inner horizons r ± are given in x ± coordinates by the curvesφ 21) which is equivalent to the standard condition ∂ +φ = 0 of two-dimensional dilaton gravity. We get Moreover we are also interested on the curve r = r 0 (the old horizon of the extremal black hole which is no longer a horizon) when the near-extremal black hole is created.…”

Section: Making a Near-extremal Black Holementioning

confidence: 99%

“…The general solution of (2.10) is [20] 19) where J(φ) = φ dφV (φ). The thermodynamical variables, in terms of the twodimensional effective theory, read [21] S = 4πφ + , (2.20)…”

Section: Reissner-nordström Black Holes Near Extremality and Jackiw-tmentioning

confidence: 99%

Quantum evolution of near-extremal Reissner–Nordström black holes

2001

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We study the near-horizon AdS 2 ×S 2 geometry of evaporating near-extremal Reissner-Nordström black holes interacting with null matter. The non-local (boundary) terms t ± , coming from the effective theory corrected with the quantum Polyakov-Liouville action, are treated as dynamical variables. We describe analytically the evaporation process which turns out to be compatible with the third law of thermodynamics, i.e., an infinite amount of time is required for the black hole to decay to extremality. Finally we comment briefly on the implications of our results for the information loss problem.

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“…Much effort has been already made to solve the most general dilaton gravity model and many progresses have been achieved in this direction [1,5,6,7,8]. Especially the general static solutions are formally obtained using the conformal transformation technique [8].…”

Section: Introductionmentioning

confidence: 99%