scholarly journals THERMODYNAMICS OF SCHWARZSCHILD–(ANTI-)DE SITTER BLACK HOLES WITH ACCOUNT OF QUANTUM CORRECTIONS

2000 ◽  
Vol 15 (07) ◽  
pp. 989-1010 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
SERGEI D. ODINTSOV
Keyword(s):  
Black Holes ◽  
Effective Action ◽  
Quantum Correction ◽  
Quantum Corrections ◽  
De Sitter ◽  
S Wave ◽  
Wave Approximation ◽  
Quantum Matter ◽  
Large N ◽  
Gravitational Background

We discuss the quantum corrections to thermodynamics (and geometry) of S(A)dS BH's using large N one-loop anomaly induced effective action for dilaton coupled matter (scalars and spinors). It is found that the temperature, mass and entropy with account of quantum effects for multiply horizon SdS BH and SAdS BH which also gives the corresponding expressions for their limits: Schwarzschild and de Sitter spaces. In the last case one can talk about quantum correction to the entropy of an expanding universe. The anomaly induced action under discussion corresponds to 4d formulation (s-wave approximation, 4d quantum matter is a minimal one) as well as 2d formulation (complete effective action, 2d quantum matter is a dilaton coupled one). Hence, most of the results are given for the same gravitational background with interpretation as 4d quantum corrected BH or 2d quantum corrected dilatonic BH. Quantum aspects of thermodynamics of 4d 't Hooft BH model are also considered.

scholarly journals UNIFIED APPROACH TO STUDY QUANTUM PROPERTIES OF PRIMORDIAL BLACK HOLES, WORMHOLES AND OF QUANTUM COSMOLOGY

1999 ◽  
Vol 14 (20) ◽  
pp. 1309-1316 ◽  
Author(s):  
S. NOJIRI ◽  
O. OBREGON ◽  
S. D. ODINTSOV
Keyword(s):  
Black Holes ◽  
Quantum Cosmology ◽  
Quantum Corrections ◽  
Primordial Black Holes ◽  
Unified Approach ◽  
S Wave ◽  
Singularity Problem ◽  
Wave Approximation ◽  
Quantum Properties ◽  
Large N

We review the anomaly induced effective action for dilaton coupled spinors and scalars in large-N and s-wave approximation. It may be applied to study the following fundamental problems: construction of quantum corrected black holes (BHs), inducing of primordial wormholes in the early Universe (this effect is confirmed) and the solution of initial singularity problem. The recently discovered anti-evaporation of multiple horizon BHs is discussed. The existence of such primordial BHs may be interpreted as SUSY manifestation. Quantum corrections to BHs thermodynamics may also be discussed within such scheme.

scholarly journals CAN QUANTUM-CORRECTED BTZ BLACK HOLE ANTI-EVAPORATE?

1998 ◽  
Vol 13 (33) ◽  
pp. 2695-2704 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
SERGEI D. ODINTSOV
Keyword(s):  
Black Hole ◽  
Effective Action ◽  
Quantum Evolution ◽  
S Wave ◽  
Btz Black Hole ◽  
Higher Modes ◽  
Wave Approximation ◽  
Large N ◽  
The One ◽  
Kaluza Klein

Kaluza–Klein reduction of 3-D gravity with minimal scalars leads to 2-D dilaton-Maxwell gravity with dilaton coupled scalars. Evaluating the one-loop effective action for dilaton coupled scalars in large-N and s-wave approximation, we apply it to study quantum evolution of BTZ black hole. It is shown that quantum-corrected BTZ BH may evaporate or else anti-evaporate which is similar to 4-D Nariai BH as is observed by Bousso and Hawking. Instable higher modes in the spectrum also indicate the possibility of proliferation of BTZ BH.

scholarly journals Quantum-corrected thermodynamics and P–V criticality of self-gravitating Skyrmion black holes

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Yawar H Khan ◽  
Prince A Ganai ◽  
Sudhaker Upadhyay
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Solution ◽  
Quantum Correction ◽  
Hamiltonian Formalism ◽  
Quantum Corrections ◽  
Model Parameters ◽  
Thermodynamic Quantities ◽  
De Sitter ◽  
Experimental Bound

Abstract We study the quantum-corrected thermodynamics of a class of black holes generated by self-gravitating Skyrmion models. One such black hole solution is the Einstein–Skrymion black hole. We first compute the Arnowitt–Deser–Misner mass of an Einstein–Skyrmion black hole using an on-shell Hamiltonian formalism already present in the literature. We then consider nonextended phase space thermodynamics and derive expressions for various thermodynamic quantities like the Hawking temperature, entropy, pressure, Gibbs free energy, and heat capacity. Next, we study the effect of quantum corrections on the thermodynamics of the Einstein–Skyrmion black hole. We observe that apart from leading to stability, the quantum correction induces an anti-de Sitter to de Sitter phase transition in the Einstein–Skrymion black hole. Treating the cosmological constant as the pressure, we determine the $P$–$V$ criticality of the Einstein–Skrymion black hole and observe that it depends on the model parameters $\lambda$ and $K$. This study of the $P$–$V$ criticality could help to estimate the experimental bound on the values of $\lambda$ and $K$.

scholarly journals EFFECTIVE ACTION FOR CONFORMAL SCALARS AND ANTIEVAPORATION OF BLACK HOLES

1999 ◽  
Vol 14 (08) ◽  
pp. 1293-1304 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
SERGEI D. ODINTSOV
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Effective Action ◽  
Quantum Evolution ◽  
Conformal Anomaly ◽  
General Effect ◽  
De Sitter ◽  
Conformally Invariant ◽  
Hole Radius ◽  
Maximal Mass

We study the one-loop effective action for N 4D conformally invariant scalars on the spherically symmetric background. The main part of the effective action is given by integration of the 4D conformal anomaly. This effective action (in large N approximation and partial curvature expansion) is applied to investigate the quantum evolution of Schwarzschild–de Sitter (SdS) black holes of maximal mass. We find that the effect (recently discovered by Bousso and Hawking for N minimal scalars and another approximate effective action) of antievaporation of nearly maximal SdS (Nariai) black holes also occurs in the model under consideration. Careful treatment of quantum corrections and perturbations modes of Nariai black holes is given, being quite complicated. It is shown that exists also perturbation where the black hole radius shrinks, i.e. the black hole evaporates. We point out that our result holds for a wide class of models, including conformal scalars, spinors and vectors. Hence, antievaporation of SdS black holes is a rather general effect which should be taken into account in quantum gravity considerations.

The Free Energy for Rotating and Charged Black Holes and Banados, Teitelboim and Zanelli Black Holes

2018 ◽  
Vol 73 (11) ◽  
pp. 1061-1073 ◽  
Author(s):  
N.A. Hussein ◽  
D.A. Eisa ◽  
T.A.S. Ibrahim
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Free Energy ◽  
Quantum Correction ◽  
Kerr Black Hole ◽  
De Sitter ◽  
Schwarzschild Black Hole ◽  
Charged Black Holes ◽  
Thermodynamic Variables

AbstractThis paper aims to obtain the thermodynamic variables (temperature, thermodynamic volume, angular velocity, electrostatic potential, and heat capacity) corresponding to the Schwarzschild black hole, Reissner-Nordstrom black hole, Kerr black hole and Kerr-Newman-Anti-de Sitter black hole. We also obtained the free energy for black holes by using three different methods. We obtained the equation of state for rotating Banados, Teitelboim and Zanelli black holes. Finally, we used the quantum correction of the partition function to obtain the heat capacity and entropy in the quantum sense.

scholarly journals Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
V. B. Bezerra ◽  
I. P. Lobo ◽  
J. P. Morais Graça ◽  
Luis C. N. Santos
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Perfect Fluid ◽  
Quantum Correction ◽  
Heat Engine ◽  
State Parameter ◽  
Quantum Corrections ◽  
Extended Phase Space ◽  
Schwarzschild Black Hole ◽  
Extended Phase

AbstractWe study some properties of the extended phase space of a quantum-corrected Schwarzschild black hole surrounded by a perfect fluid. In particular we demonstrate that, due to the quantum correction, there exist first and second order phase transitions for a certain range of the state parameter of the perfect fluid, and we explicitly analyze some cases. Besides that, we describe the efficiency of this system as a heat engine and the effect of quantum corrections for different surrounding fluids.

scholarly journals Massive Dirac quasinormal modes in Schwarzschild–de Sitter black holes: Anomalous decay rate and fine structure

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Almendra Aragón ◽  
Ramón Bécar ◽  
P. A. González ◽  
Yerko Vásquez
Keyword(s):  
Black Holes ◽  
Fine Structure ◽  
Decay Rate ◽  
Quasinormal Modes ◽  
De Sitter

scholarly journals Bifurcation of the Maxwell quasinormal spectrum on asymptotically anti–de Sitter black holes

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Mengjie Wang ◽  
Zhou Chen ◽  
Xin Tong ◽  
Qiyuan Pan ◽  
Jiliang Jing
Keyword(s):  
Black Holes ◽  
De Sitter

scholarly journals Driven black holes: from Kolmogorov scaling to turbulent wakes

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Tomas Andrade ◽  
Christiana Pantelidou ◽  
Julian Sonner ◽  
Benjamin Withers
Keyword(s):  
Nonlinear Dynamics ◽  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Strong Field ◽  
De Sitter ◽  
Event Horizons ◽  
Binary Mergers ◽  
Tidal Deformations ◽  
Proof Of Principle

Abstract General relativity governs the nonlinear dynamics of spacetime, including black holes and their event horizons. We demonstrate that forced black hole horizons exhibit statistically steady turbulent spacetime dynamics consistent with Kolmogorov’s theory of 1941. As a proof of principle we focus on black holes in asymptotically anti-de Sitter spacetimes in a large number of dimensions, where greater analytic control is gained. We focus on cases where the effective horizon dynamics is restricted to 2+1 dimensions. We also demonstrate that tidal deformations of the horizon induce turbulent dynamics. When set in motion relative to the horizon a deformation develops a turbulent spacetime wake, indicating that turbulent spacetime dynamics may play a role in binary mergers and other strong-field phenomena.

Infrared finiteness of the two-loop correction to the Chern–Simons term in the Yang–Mills–Chern–Simons theory

1995 ◽  
Vol 73 (5-6) ◽  
pp. 344-348 ◽  
Author(s):  
Yeong-Chuan Kao ◽  
Hsiang-Nan Li
Keyword(s):  
Effective Action ◽  
Background Field ◽  
Landau Gauge ◽  
Quantum Corrections ◽  
Simons Theory ◽  
Loop Correction ◽  
Loop Contribution ◽  
Yang Mills ◽  
Chern Simons ◽  
Chern Simons Theory

We show that the two-loop contribution to the coefficient of the Chern–Simons term in the effective action of the Yang–Mills–Chern–Simons theory is infrared finite in the background field Landau gauge. We also discuss the difficulties in verifying the conjecture, due to topological considerations, that there are no more quantum corrections to the Chern–Simons term other than the well-known one-loop shift of the coefficient.

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