Evaporating Black Holes and Entropy

Abstract

We study the Hawking radiation for the geometry of an evaporating 1+1 dimensional black hole. We compute Bogoliubov coefficients and the stress tensor. We use a recent result of Srednicki to estimate the entropy of entanglement produced in the evaporation process, for the 1+1 dimensional hole and for the 3+1 dimensional hole. It is found that the one space dimensional result of Srednicki is the pertinent one to use, in both cases.

29 pages, one figure (available from authors), Latex. (Mailer errors removed.)

References in corpus (5)

• The Stretched Horizon and Black Hole Complementarity
• Dynamical Origin of the Entropy of a Black Hole
• Quantum Black Hole Evaporation
• Universality and Scaling at the Onset of Quantum Black Hole Formation
• White Holes, Black Holes and Cpt in Two Dimensions

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• Black hole thermodynamics and information loss in two dimensions
• What Exactly is the Information Paradox?
• Tunneling into fuzzball states
• An Uneventful Horizon in Two Dimensions
• Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings
• Breakdown of the semiclassical approximation at the black hole horizon
• What the information paradox is {\it not}
• Entropy in the RST Model
• Entropy localization and extensivity in the semiclassical black hole evaporation
• Hamiltonian thermodynamics of two-dimensional vacuum dilatonic black holes
• Collapse of the wavefunction, the information paradox and backreaction
• Backreaction Effects in the Two-Dimensional Dilaton Gravity
• Note on explicit form of entanglement entropy in the RST model
• Temperatures of AdS${}_2$ black holes and holography revisited