scholarly journals Effective Lagrangian and the back-reaction problem in a self-interacting O(N) scalar theory in curved spacetime

1994 ◽  
Vol 50 (8) ◽  
pp. 5137-5147 ◽  
Author(s):  
E. Elizalde ◽  
K. Kirsten ◽  
S. D. Odintsov
Keyword(s):  
Back Reaction ◽  
Curved Spacetime ◽  
Scalar Theory ◽  
Effective Lagrangian ◽  
Reaction Problem

The thermodynamical approach to the back reaction problem

1993 ◽  
Vol 25 (12) ◽  
pp. 1267-1275 ◽  
Author(s):  
Chao Guang Huang ◽  
Liao Liu ◽  
Zheng Zhao
Keyword(s):  
Back Reaction ◽  
Reaction Problem

scholarly journals One-loop renormalization and asymptotic behaviour of a higher-derivative scalar theory in curved spacetime

1994 ◽  
Vol 328 (3-4) ◽  
pp. 297-306 ◽  
Author(s):  
E. Elizalde ◽  
A.G. Jacksenaev ◽  
S.D. Odintsov ◽  
I.L. Shapiro
Keyword(s):  
Asymptotic Behaviour ◽  
Curved Spacetime ◽  
Scalar Theory ◽  
Higher Derivative

scholarly journals VACUUM QUANTUM EFFECTS OF NONCONFORMAL SCALAR FIELD IN A NONSINGULAR COSMOLOGICAL MODEL

1998 ◽  
Vol 07 (05) ◽  
pp. 779-792 ◽  
Author(s):  
M. NOVELLO ◽  
V. B. BEZERRA ◽  
V. M. MOSTEPANENKO
Keyword(s):  
Scalar Field ◽  
Energy Density ◽  
Negative Energy ◽  
Back Reaction ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Negative Energy Density ◽  
Stress Energy ◽  
Nonsingular Cosmological Model ◽  
Reaction Problem

The total vacuum stress-energy tensor of nonconformal scalar field is calculated in a nonsingular metric determined by some background matter with the effective negative energy density and pressure. The corrections due to the field nonconformity are shown to dominate the conformal contributions for some cases. The back reaction problem of vacuum stress-energy tensor upon the background metric is also discussed.

ON THE SUPERSTRING BLACK HOLE

2007 ◽  
Vol 16 (01) ◽  
pp. 123-140 ◽  
Author(s):  
M. D. POLLOCK
Keyword(s):  
Black Hole ◽  
Energy Momentum Tensor ◽  
Energy Content ◽  
Momentum Tensor ◽  
Back Reaction ◽  
Effective Energy ◽  
De Sitter ◽  
Superstring Theory ◽  
Higher Derivative ◽  
Effective Lagrangian

The effective Lagrangian for the heterotic superstring theory of Gross et al. contains higher-derivative gravitational terms [Formula: see text], n ≥ 2, which become important at large curvatures. This leads to a natural realization of the limiting-curvature hypothesis of Frolov et al., which was formulated to describe the interior of black holes. Assuming a purely geometrical, four-dimensional Schwarzschild black hole, for which all matter fields are zero, this interior consists of two regions: a shell of effective energy-density ρ immediately beyond the event horizon at r+ = 2M, due to the back reaction of the [Formula: see text] on the Schwarzschild metric, extending inward to a transition radius r0 ≈ M⅓, where the shell signature (- + - -) reverts to the exterior Lorentzian form (+ - - -), and an innermost core tending asymptotically to anti-de Sitter space as r → 0. The total mass-energy content of the hole M can be expressed in terms of the effective energy–momentum tensor Sij as the Nordström mass [Formula: see text], since the space–time is static and free of physical singularities. The conjecture that ρ N (r) is positive in the shell, which is necessary for the contribution to M N to be positive, is shown to be true for the term [Formula: see text], due to the unrenormalized [Formula: see text]. The corresponding "potential" energy–momentum tensor calculated in the Schwarzschild background is isotropic in the region r0 ≪ r ≪ r+, where [Formula: see text], while the dominant "kinetic" contribution is [Formula: see text], so that [Formula: see text].

scholarly journals Hawking Radiation and Black Hole Gravitational Back Reaction—A Quantum Geometrodynamical Simplified Model

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 297
Author(s):  
João Marto
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Quantum States ◽  
Simplified Model ◽  
Back Reaction ◽  
Black Hole Evaporation ◽  
Quantum Geometrodynamics ◽  
Reaction Problem

The purpose of this paper is to analyse the back reaction problem, between Hawking radiation and the black hole, in a simplified model for the black hole evaporation in the quantum geometrodynamics context. The idea is to transcribe the most important characteristics of the Wheeler-DeWitt equation into a Schrödinger’s type of equation. Subsequently, we consider Hawking radiation and black hole quantum states evolution under the influence of a potential that includes back reaction. Finally, entropy is estimated as a measure of the entanglement between the black hole and Hawking radiation states in this model.

A Comparison of Various Approaches to the Back-Reaction Problem

1993 ◽  
Vol 221 (2) ◽  
pp. 217-228 ◽  
Author(s):  
T. Padmanabhan ◽  
T.P. Singh
Keyword(s):  
Back Reaction ◽  
Reaction Problem
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