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Title: Quantum field backreaction corrections and remnant stable evaporating Schwarzschild-de Sitter dynamical black hole

Abstract

Time-dependent backreaction corrections of the renormalized expectation value of the stress-energy tensor operator of a massless quantum scalar field, minimally coupled, in the two-dimensional spherically symmetric nondilatonic Schwarzschild-de Sitter dynamical black hole metric, is applied to determine the final state of its thermal radiation. Renormalization theory in the two-dimensional analog of a generally curved space-time reduces to a trace anomaly defined in terms of the Ricci scalar. So the regularized stress-energy tensor, in close relation to the work by Christensen and Fulling, may be obtained by the nonlocal contribution of the trace anomaly and some suitable parameters. Linear-order, time-dependent solutions of the metric backreaction equations, in close relation to the work by Bousso et al., show that the spherically symmetric nondilatonic evaporating Schwarzschild-de Sitter dynamical black hole final state, reduces to a set of remnant, stable, mini black holes where their metric should be described in terms of some permissible discrete Eddington-Finkelstein advance times. Also the results of this article are confirmed by the consequences of time-independent backreaction solutions which were derived recently by the author and may propose a new approach for quantization of gravity, in which the cosmological constant and a distinguished observer have a key role.

Authors:
 [1]
  1. Physics Department, Semnan University, P.O. Box 35195-363 (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
21020378
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.084009; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; CORRECTIONS; COSMOLOGICAL CONSTANT; DE SITTER GROUP; EXPECTATION VALUE; GRAVITATION; MATHEMATICAL SOLUTIONS; QUANTIZATION; QUANTUM FIELD THEORY; RENORMALIZATION; SCALAR FIELDS; SCHWARZSCHILD METRIC; SPACE-TIME; STRESSES; TENSORS; THERMAL RADIATION; TIME DEPENDENCE; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Ghaffarnejad, Hossein. Quantum field backreaction corrections and remnant stable evaporating Schwarzschild-de Sitter dynamical black hole. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.084009.
Ghaffarnejad, Hossein. Quantum field backreaction corrections and remnant stable evaporating Schwarzschild-de Sitter dynamical black hole. United States. doi:10.1103/PHYSREVD.75.084009.
Ghaffarnejad, Hossein. Sun . "Quantum field backreaction corrections and remnant stable evaporating Schwarzschild-de Sitter dynamical black hole". United States. doi:10.1103/PHYSREVD.75.084009.
@article{osti_21020378,
title = {Quantum field backreaction corrections and remnant stable evaporating Schwarzschild-de Sitter dynamical black hole},
author = {Ghaffarnejad, Hossein},
abstractNote = {Time-dependent backreaction corrections of the renormalized expectation value of the stress-energy tensor operator of a massless quantum scalar field, minimally coupled, in the two-dimensional spherically symmetric nondilatonic Schwarzschild-de Sitter dynamical black hole metric, is applied to determine the final state of its thermal radiation. Renormalization theory in the two-dimensional analog of a generally curved space-time reduces to a trace anomaly defined in terms of the Ricci scalar. So the regularized stress-energy tensor, in close relation to the work by Christensen and Fulling, may be obtained by the nonlocal contribution of the trace anomaly and some suitable parameters. Linear-order, time-dependent solutions of the metric backreaction equations, in close relation to the work by Bousso et al., show that the spherically symmetric nondilatonic evaporating Schwarzschild-de Sitter dynamical black hole final state, reduces to a set of remnant, stable, mini black holes where their metric should be described in terms of some permissible discrete Eddington-Finkelstein advance times. Also the results of this article are confirmed by the consequences of time-independent backreaction solutions which were derived recently by the author and may propose a new approach for quantization of gravity, in which the cosmological constant and a distinguished observer have a key role.},
doi = {10.1103/PHYSREVD.75.084009},
journal = {Physical Review. D, Particles Fields},
number = 8,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}