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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}
}
  • Time-independent backreaction corrections of the renormalized expectation value of the stress tensor operator of a massless quantum scalar field, coupled in a two-dimensional spherically symmetric Schwarzschild-de Sitter static black hole metric, are used to obtain its final state. According to the work by Christensen and Fulling, the renormalized stress tensor is found to be determined by the nonlocal contribution of the trace anomaly and some additional parameters. Mathematical derivations of the backreaction equations, in close relation to the work by Bousso and Hawking, show that the scenario of the black hole Hawking radiation is reduced to a remnant, stable, static,more » Schwarzschild-de Sitter mini black hole which has still new black hole and cosmological shrunk horizons.« less
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