Hawking Radiation and Back-Reaction in a Unitary Theory of 2D Quantum Gravity

Abstract

We investigate the semiclassical limit and quantum corrections to the metric in a unitary quantum gravity formulation of the CGHS 2d dilaton gravity model. A new method for calculating the back-reaction effects has been introduced, as an expansion of the effective metric in powers of the matter energy-momentum tensor. In the semiclassical limit the quantum corrections can be neglected, and we show that physical states exists which contain the Hawking radiation. The first order back-reaction effect is entirely due to the Hawking radiation. It causes the black-hole mass to monotonically decrease, and it makes it unbounded from bellow as the horizon is approched. The second order quantum corrections have been estimated. Since the matter is propagating freely in this unitary theory, we expect that the higher order corrections will stabilize the mass, and the black hole will completely evaporate leaving a nearly flat space.

10 pgs, LaTex file, SISSA preprint 98/94/EP

References in corpus (8)

• Evanescent Black Holes
• The Endpoint of Hawking Evaporation
• Cosmic Censorship in Two-Dimensional Gravity
• Quantum Emission from Two-Dimensional Black Holes
• Quantum Black Hole Evaporation
• Exact Operator Quantization of a Model of Two-Dimensional Dilaton Gravity
• Two-dimensional dilaton gravity in a unitary gauge
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Cited by in corpus (13)

• Dilaton Gravity in Two Dimensions
• Dirac Constraint Quantization of a Dilatonic Model of Gravitational Collapse
• One-Loop Effective Action for Spherical Scalar Field Collapse
• Solvable Models for radiating Black Holes and Area-preserving Diffeomorphisms
• Two-loop Back-reaction in 2D Dilaton Gravity
• Generalized 2d dilaton gravity with matter fields
• Unitary Theory of Evaporating 2D Black Holes
• Quantum gravity effects in the CGHS model of collapse to a black hole
• General Solution for Self-Gravitating Spherical Null Dust
• Loop Corrections in the Spectrum of 2D Hawking Radiation
• One-loop Effective Action for a Generic 2D Dilaton Gravity Theory
• A Quantum Model of Schwarzschild Black Hole Evaporation
• Second Law of Black Hole Mechanics for all 2d Dilaton Theories