Metric fluctuations of an evaporating black hole from backreaction of stress tensor fluctuations

2007 ◽  
Vol 76 (12) ◽  
Author(s):  
B. L. Hu ◽  
Albert Roura
Keyword(s):  
Black Hole ◽  
Stress Tensor ◽  
Metric Fluctuations

scholarly journals Black hole solutions in modified gravity induced by quantum metric fluctuations

2021 ◽  
Vol 31 ◽  
pp. 100756
Author(s):  
Jin-Zhao Yang ◽  
Shahab Shahidi ◽  
Tiberiu Harko ◽  
Shi-Dong Liang
Keyword(s):  
Black Hole ◽  
Modified Gravity ◽  
Black Hole Solutions ◽  
Metric Fluctuations

scholarly journals CASIMIR EFFECT FOR THE MASSLESS DIRAC FIELD IN TWO-DIMENSIONAL REISSNER–NORDSTRÖM SPACE–TIME

2006 ◽  
Vol 15 (09) ◽  
pp. 1473-1486 ◽  
Author(s):  
XIN-QIN GAO ◽  
JIAN-YANG ZHU
Keyword(s):  
Black Hole ◽  
Stress Tensor ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Space Time ◽  
Dirac Field ◽  
Two Dimensional ◽  
Parallel Plates ◽  
Expectation Values ◽  
Particle Current

In this paper, the two-dimensional Reissner–Nordström black hole is considered as a system of the Casimir type. In this background, the Casimir effect for the massless Dirac field is discussed. The massless Dirac field is confined between two "parallel plates" separated by a distance L and there is no particle current drilling through the boundaries. The vacuum expectation values of the stress tensor of the massless Dirac field at infinity are calculated separately in the Boulware state, the Hartle–Hawking state and the Unruh state.

Nonsingular black hole with a nonlinear electric source

2015 ◽  
Vol 24 (09) ◽  
pp. 1542001 ◽  
Author(s):  
Hristu Culetu
Keyword(s):  
Black Hole ◽  
Electric Field ◽  
Stress Tensor ◽  
Electrostatic Potential ◽  
Nonlinear Electrodynamics ◽  
Anisotropic Fluid ◽  
Maxwell Stress ◽  
Maxwell Stress Tensor ◽  
Horizon Entropy ◽  
Electric Source

A modified version of the Reissner–Nordstrom (RN) metric is proposed on the grounds of the nonlinear electrodynamics model. The source of curvature is an anisotropic fluid with pr = -ρ which resembles the Maxwell stress tensor at r ≫ q2/2m, where q and m are the mass and charge of the particle, respectively. We found the black hole (BH) horizon entropy obeys the relation S = ∣W∣/2T = AH/4, with W the Komar energy and AH the horizon area. The electric field around the source depends not only on its charge but also on its mass. The corresponding electrostatic potential Φ(r) is finite everywhere, being -m/2q at the origin and nonzero asymptotically, with Φ∞ = m/q.

scholarly journals Flat-space holography and stress tensor of Kerr black hole

2016 ◽  
Vol 760 ◽  
pp. 713-719 ◽  
Author(s):  
Omid Baghchesaraei ◽  
Reza Fareghbal ◽  
Yousef Izadi
Keyword(s):  
Black Hole ◽  
Stress Tensor ◽  
Kerr Black Hole ◽  
Flat Space

scholarly journals Quantum BTZ black hole

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Roberto Emparan ◽  
Antonia Micol Frassino ◽  
Benson Way
Keyword(s):  
Black Hole ◽  
Stress Tensor ◽  
Three Dimensional ◽  
Black Hole Entropy ◽  
Btz Black Hole ◽  
Dimensional Solution ◽  
Quantum Black Hole ◽  
Strongly Coupled ◽  
Conformal Fields

Abstract We study a holographic construction of quantum rotating BTZ black holes that incorporates the exact backreaction from strongly coupled quantum conformal fields. It is based on an exact four-dimensional solution for a black hole localized on a brane in AdS4, first discussed some years ago but never fully investigated in this manner. Besides quantum CFT effects and their backreaction, we also investigate the role of higher-curvature corrections in the effective three-dimensional theory. We obtain the quantum-corrected geometry and the renormalized stress tensor. We show that the quantum black hole entropy, which includes the entanglement of the fields outside the horizon, satisfies the first law of thermodynamics exactly, even in the presence of backreaction and with higher-curvature corrections, while the Bekenstein-Hawking-Wald entropy does not. This result, which involves a rather non-trivial bulk calculation, shows the consistency of the holographic interpretation of braneworlds. We compare our renormalized stress tensor to results derived for free conformal fields, and for a previous holographic construction without backreaction effects, which is shown to be a limit of the solutions in this article.

Renormalized electromagnetic stress tensor for an evaporating black hole

1991 ◽  
Vol 43 (12) ◽  
pp. 4142-4144 ◽  
Author(s):  
B. P. Jensen ◽  
J. G. McLaughlin ◽  
A. C. Ottewill
Keyword(s):  
Black Hole ◽  
Stress Tensor

scholarly journals Non-singular black holes with a zero-shear S-brane

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Robert Brandenberger ◽  
Lavinia Heisenberg ◽  
Jakob Robnik
Keyword(s):  
Black Hole ◽  
Information Loss ◽  
Singularity Problem ◽  
Weyl Curvature ◽  
Cosmological Singularity ◽  
Information Loss Paradox ◽  
Black Hole Singularity ◽  
Anisotropic Cosmology ◽  
Limiting Value ◽  
Metric Fluctuations

Abstract We propose a construction with which to resolve the black hole singularity and enable an anisotropic cosmology to emerge from the inside of the hole. The model relies on the addition of an S-brane to the effective action which describes the geometry of space-time. This space-like defect is located inside of the horizon on a surface where the Weyl curvature reaches a limiting value. We study how metric fluctuations evolve from the outside of the black hole to the beginning of the cosmological phase to the future of the S-brane. Our setup addresses i) the black hole singularity problem, ii) the cosmological singularity problem and iii) the information loss paradox since the outgoing Hawking radiation is entangled with the state inside the black hole which becomes the new universe.

scholarly journals Exact holographic RG flows in extended SUGRA

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
A. Anabalón ◽  
D. Astefanesei ◽  
D. Choque ◽  
A. Gallerati ◽  
M. Trigiante
Keyword(s):  
Black Hole ◽  
Stress Tensor ◽  
Finite Temperature ◽  
Analytic Form ◽  
The Other ◽  
Magnetic Part ◽  
Black Hole Solutions

Abstract We present a family of exact planar hairy neutral black hole solutions in extended supergravity with Fayet-Iliopoulos (FI) terms. We consider a model where the magnetic part of FI sector vanishes and obtain the superpotential at finite temperature in analytic form. Then, we discuss the thermodynamics and some holographic properties of these solutions. We regularize the action by two different methods, one with gravitational and scalar counterterms and the other using the thermal superpotential as a counterterm, and compute the holographic stress tensor. We also construct the c-function of the corresponding RG flow and obtain an exact holographic β-function for this model.

scholarly journals Nonlocal Black Hole Evaporation and Quantum Metric Fluctuations via Inhomogeneous Vacuum Density

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Alexander Y. Yosifov ◽  
Lachezar G. Filipov
Keyword(s):  
Black Hole ◽  
Quantum Information ◽  
Vacuum Energy ◽  
Vacuum Energy Density ◽  
Back Reaction ◽  
Vacuum Fluctuations ◽  
Schwarzschild Black Hole ◽  
Black Hole Background ◽  
Schwarzschild Radius ◽  
Metric Fluctuations

Inhomogeneity of the actual value of the vacuum energy density is considered in a black hole background. We examine the back-reaction of a Schwarzschild black hole to the highly inhomogeneous vacuum density and argue the fluctuations lead to deviations from general relativity in the near-horizon region. In particular, we found that vacuum fluctuations onto the horizon trigger adiabatic release of quantum information, while vacuum fluctuations in the vicinity of the horizon produce potentially observable metric fluctuations of order of the Schwarzschild radius. Consequently, we propose a form of strong nonviolent nonlocality in which we simultaneously get nonlocal release of quantum information and observable metric fluctuations.

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