English

On time evolution of quantum black holes

General Relativity and Quantum Cosmology 2009-11-07 v1 Astrophysics High Energy Physics - Theory

Abstract

The time evolution of black holes involves both the canonical equations of quantum gravity and the statistical mechanics of Hawking radiation, neither of which contains a time variable. In order to introduce the time, we apply the semiclassical approximation to the Hamiltonian constraint on the apparent horizon and show that, when the backreaction is included, it suggests the existence of a long-living remnant, similarly to what is obtained in the microcanonical picture for the Hawking radiation.

Keywords

Cite

@article{arxiv.gr-qc/0102006,
  title  = {On time evolution of quantum black holes},
  author = {Roberto Casadio},
  journal= {arXiv preprint arXiv:gr-qc/0102006},
  year   = {2009}
}

Comments

LaTeX using elsart.sty, 10 pages, 3 EPS figures

R2 v1 2026-07-22T12:33:13.930Z