Quantum back reaction of massive fields and self-consistent semiclassical extreme black holes and acceleration horizons - art. no. 104018

Citation
J. Matyjasek et Ob. Zaslavskii, Quantum back reaction of massive fields and self-consistent semiclassical extreme black holes and acceleration horizons - art. no. 104018, PHYS REV D, 6410(10), 2001, pp. 4018
Citations number
21
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
0556-2821 → ACNP
Volume
6410
Issue
10
Year of publication
2001
Database
ISI
SICI code
0556-2821(20011115)6410:10<4018:QBROMF>2.0.ZU;2-1
Abstract
We consider the effect of back reaction of quantized massive fields on the metric of extreme black holes (EBH's). We find the analytical approximate e xpression for the stress-energy tensor for a scalar (with an arbitrary coup ling), spinor and vector fields near an event horizon. We show that, indepe ndent of a concrete type of EBH, the energy measured by a freely falling ob server is finite on the horizon, so that quantum back reaction is consisten t with the existence of EBH's. For the Reissner-Nordstrom EBH with a total mass M-tot and charge Q we show that for all cases of physical interest M-t ot < Q. We also discuss different types of quantum-corrected Bertotti-Robin son spacetimes, find for them exact self-consistent solutions, and consider situations in which tiny quantum corrections lead to the qualitative chang e of the classical geometry and topology. In all cases one should start not from a classical background with further added quantum corrections but fro m the quantum-corrected self-consistent geometries from the very beginning.