On time evolution of quantum black holes

Details On time evolution of quantum black holes On time evolution of quantum black holes

2001-02-02

arxiv.org/abs/gr-qc/0102006v1

Phys.Lett. B511 (2001) 285-290

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1016/S0370-2693(01)00634-7

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.

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