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

Journal Article · Sun Apr 15 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.084009· OSTI ID:21020378

Ghaffarnejad, Hossein ^[1]

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1. Physics Department, Semnan University, P.O. Box 35195-363 (Iran, Islamic Republic of)

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.

• OSTI ID: 21020378
• Journal Information: Physical Review. D, Particles Fields, Vol. 75, Issue 8; Other Information: DOI: 10.1103/PhysRevD.75.084009; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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