English

The black hole quantum atmosphere

General Relativity and Quantum Cosmology 2017-10-11 v2

Abstract

Ever since the discovery of black hole evaporation, the region of origin of the radiated quanta has been a topic of debate. Recently it was argued by Giddings that the Hawking quanta originate from a region well outside the black hole horizon by calculating the effective radius of a radiating body via the Stefan--Boltzmann law. In this paper we try to further explore this issue and end up corroborating this claim, using both a heuristic argument and a detailed study of the stress energy tensor. We show that the Hawking quanta originate from what might be called a quantum atmosphere around the black hole with energy density and fluxes of particles peaked at about 4M4M, running contrary to the popular belief that these originate from the ultra high energy excitations very close to the horizon. This long distance origin of Hawking radiation could have a profound impact on our understanding of the information and transplanckian problems.

Keywords

Cite

@article{arxiv.1701.06161,
  title  = {The black hole quantum atmosphere},
  author = {Ramit Dey and Stefano Liberati and Daniele Pranzetti},
  journal= {arXiv preprint arXiv:1701.06161},
  year   = {2017}
}

Comments

11 pages, 5 figures, minor revision and inclusion of a qualitative analysis of how to extend our argument to higher dimensions to match the published version

R2 v1 2026-06-22T17:56:27.439Z