Hawking radiation as quantum mechanical reflection

Abstract

In this article, we explore an alternative derivation of Hawking radiation. Instead of the field-theoretic derivation, we have suggested a simpler calculation based on quantum mechanical reflection from a one-dimensional potential. The reflection coefficient shows an exponential fall in energy which, in comparison with the Boltzmann probability distribution, yields a temperature. The temperature is the same as Hawking temperature for spherically symmetric black holes. The derivation gives an exact local calculation of Hawking temperature that involves a region lying entirely outside the horizon. This is a crucial difference from the tunneling calculation, where it is necessary to involve a region inside the horizon.

arXiv comment9 pages and 3 figures, accepted for publication in General Relativity and Gravitation

References in corpus (13)

• Hawking Radiation as Tunneling
• Isolated and dynamical horizons and their applications
• Particle production and complex path analysis
• Hawking Radiation as Tunneling for Extremal and Rotating Black Holes
• Entropy, Area, and Black Hole Pairs
• Relationship between Hawking Radiation and Gravitational Anomalies
• Tunnelling, Temperature and Taub-NUT Black Holes
• Hawking temperature in the tunneling picture
• Hawking radiation in different coordinate settings: Complex paths approach
• Tunnelling from black holes and tunnelling into white holes
• Reflection above the barrier as tunneling in momentum space
• Black Hole Information Problem and Wave Bursts
• Can Quantum Particles Cross a Horizon?