Quantum toy model for black-hole back-reaction

Abstract

We propose a simple quantum field theoretical toy model for black hole evaporation and study the back-reaction of Hawking radiation onto the classical background. It turns out that the horizon is also ``pushed back'' in this situation (i.e., the interior region shrinks) but this back-reaction is not caused by energy conservation but by momentum balance. The effective heat capacity and the induced entropy variation can have both signs -- depending on the parameters of the model. PACS: 04.62.+v, 04.70.Dy.

4 pages

References in corpus (11)

• Analogue Gravity
• Hawking Radiation Without Transplanckian Frequencies
• Computing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach
• On the Universality of the Hawking Effect
• Acoustic Energy and Momentum in a Moving Medium
• Iordanskii Force and the Gravitational Aharonov-Bohm effect for a Moving Vortex
• Backreaction in Acoustic Black Holes
• Hawking radiation on a falling lattice
• Quantum effects in Acoustic Black Holes: the Backreaction
• Quantum (in)stability of 2D charged dilaton black holes and 3D rotating black holes
• Exactly solvable models of two-dimensional dilaton cosmology with quantum backreaction

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• Thermodynamics of acoustic black holes in two dimensions
• Quantum nonlinear effects in the number-conserving analogue gravity of Bose-Einstein condensates
• Dynamical analogue spacetimes in non-relativistic flows
• Backreaction of stimulated Hawking radiation in an optical analogue
• On the analogy between black holes and bathtub vortices