On Reflectivity of Quantum Black Hole Horizons

May 1, 2019
15 pages
Published in:
  • JCAP 04 (2020) 016
  • Published: Apr 14, 2020
e-Print:

Citations per year

20152018202120242025051015
Abstract: (IOP)
We study the reflectivity of quantum black hole (BH) horizons using detailed balance and fluctuation-dissipation theorem, finding a universal flux reflectivity given by the Boltzmann factor &calR; = &exp;(−(ℏ |&tildeomega;|)/(k TH)), where ˜ω is frequency in the horizon frame and TH is the Hawking temperature. This implies CP-symmetry (or &BbbR;&BbbP;3 topology) of the extended BH spacetime. We then briefly discuss related physical implications: we predict echoes in the ringdown of Kerr BHs, but they do not exhibit ergoregion instability. The viscosity in the membrane paradigm is modified to η = (c3)/(16πG) tanh((ℏ |&tildeomega;| )/(4 k TH)), only approaching General Relativistic value at high frequencies.
Note:
  • 15 pages, 5 figures, appendixes added
  • black hole: quantum
  • black hole: horizon
  • temperature: Hawking
  • frequency: high
  • space-time
  • viscosity
  • stability
  • membrane
  • topology
  • Kerr