AdS_2 and quantum stability in the CGHS model

Abstract

The two-dimensional anti-de Sitter space(AdS_2) is constructed in terms of the CGHS model. The geometric solutions are composed of the AdS vacuum and the AdS black hole which are locally equivalent but distinguishable by their mass. The infalling classical fields do not play any role but the quantum back reaction is crucial in the formation of the AdS vacuum and AdS black hole. In the presence of the AdS black hole, there does not exist any radiation, which is consistent with the constraint equations. Therefore the transition from the AdS black hole to the AdS vacuum is impossible, and they are quantum mechanically stable . We discuss the reason why the vanishing Hawking radiation appears in the AdS_2 black hole in contrast to asymptotically flat black holes.

14 pages, revtex, no figures, some eqs. are corrected and discussion is added. To appear in Phys. Rev. D

References in corpus (4)

• AdS2 Quantum Gravity and String Theory
• Generalized 2d dilaton gravity with matter fields
• Initial singularity free quantum cosmology in two-dimensional Brans-Dicke theory
• Two-Dimensional Self-Consistent Quantum-Corrected Geometries with a Constant Dilaton Feld

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• 2D Gravity on $Ad{S}_2$ with Chern-Simons Corrections
• Quasinormal frequencies of asymptotically anti-de Sitter black holes in two dimensions
• Absorption cross section and Hawking radiation in two-dimensional AdS black hole
• Massless vs. Massive Hawking Radiation in AdS${}_2$ Spacetime
• Hawking effect of AdS${}_2$ black hole in the Jackiw-Teitelboim model
• Temperatures of AdS${}_2$ black holes and holography revisited