Properties of Black Hole Radiation From Tunnelling

Abstract

We consider the space-time associated with the evaporation of a black hole by quantum mechanical tunnelling events. It is shown that the surface through which tunnelling occurs is distinct from the global event horizon, and that this has consequences for the radiation reaching future null infinity. A spherical collapse process is modelled, and the radiation expected to be observed at future null infinity is calculated. It is shown that external observers witness an evaporation process that begins as the tunnelling surface is exposed, and ends as the collapsing object passes behind its event horizon. The sensitivity of emitted radiation to the collapse process is illustrated.

arXiv comment14 pages, 6 figures

References in corpus (30)

• Hawking Radiation as Tunneling
• Formation and evaporation of non-singular black holes
• The Stretched Horizon and Black Hole Complementarity
• Particle production and complex path analysis
• Self-Interaction Correction to Black Hole Radiance
• Hawking temperature in the tunneling picture
• Radiation via Tunneling from a de Sitter Cosmological Horizon
• Hawking radiation in different coordinate settings: Complex paths approach
• Hawking Radiation from AdS Black Holes
• Hawking Radiation as Tunneling through the Quantum Horizon
• Essential and inessential features of Hawking radiation
• Temporal contribution to gravitational WKB-like calculations
• Microcanonical D-branes and Back Reaction
• On Hawking Radiation as Tunneling with Back-Reaction
• Generalization of the KKW Analysis for Black Hole Radiation
• Observation of Incipient Black Holes and the Information Loss Problem
• Thermal radiation of various gravitational backgrounds
• Hawking temperature from tunnelling formalism
• On the Hawking radiation as tunneling for a class of dynamical black holes
• Problems with Tunneling of Thin Shells from Black Holes
• Quantum graphs: an introduction and a brief survey
• Quantum Radiation from Quantum Gravitational Collapse
• Entropy of Horizons, Complex Paths and Quantum Tunneling
• The Dimensional-Reduction Anomaly
• Radiation flux and spectrum in the Vaidya collapse model
• Construction of a Penrose Diagram for a Spatially Coherent Evaporating Black Hole
• Factor Two Discrepancy of Hawking Radiation Temperature
• Coordinates with Non-Singular Curvature for a Time Dependent Black Hole Horizon
• Black holes as local horizons
• Radial Photon Trajectories Near an Evaporating Black Hole

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• Spherically symmetric trapping horizons, the Misner-Sharp mass and black hole evaporation
• Cosmic Matter Flux May Turn Hawking Radiation Off
• Hawking temperature and higher order calculations
• Astrophysical Black Hole horizons in a cosmological context: Nature and possible consequences on Hawking Radiation
• Semiclassical Methods for Hawking Radiation from a Vaidya Black Hole
• Particle creation rate for dynamical black holes
• Local Approach to Hawking Radiation
• A note on the Hawking radiation calculated by the quasi-classical tunneling method
• Astrophysical black holes may radiate, but they do not evaporate
• Penrose Diagram for a Transient Black Hole
• Semiclassical environment of collapsing shells
• On the paradox of Hawking radiation in a maximally extended Schwarzschild solution