Test of quantum atmosphere in the dimensionally reduced Schwarzschild black hole

Abstract

It has been suggested by Giddings that the origin of Hawking radiation in black holes is a quantum atmosphere of near-horizon quantum region by investigating both the total emission rate and the stress tensor of Hawking radiation. Revisiting this issue in the exactly soluble model of a dimensionally reduced Schwarzschild black hole, we shall confirm that the dominant Hawking radiation in the Unruh vacuum indeed occurs at the quantum atmosphere, not just at the horizon by exactly calculating the out-temperature responsible for outgoing Hawking particle excitations. Consequently we show that the out-temperature vanishes at the horizon and has a peak at a scale whose radial extent is set by the horizon radius, and then decreases to the Hawking temperature at infinity. We also discuss bounds of location of the peak for the out-temperature in our model.

15 pages, 1 figure, published version in Phys. Lett. B

References in corpus (3)

• Hawking radiation and the Stefan-Boltzmann law: The effective radius of the black-hole quantum atmosphere
• Shenanigans at the black hole horizon: pair creation or Boulware accretion?
• The effective Tolman temperature in curved spacetimes

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• The Quantum Atmosphere of Reissner-Nordström Black Holes
• Entanglement and entropy uncertainty in black hole quantum atmosphere
• Quantum correlation and origin of Hawking radiation for mass-superposed BTZ black holes
• On the Photon Motion Near a Five-Dimensional Schwarzschild Black Hole
• On thermal radiation of de Sitter space in the semiclassical Jackiw-Teitelboim model