scholarly journals A LARGE CLASS OF SPACE-TIMES FROM THE SL(2, ℝ)/U(1) COSET MODEL

1993 ◽  
Vol 08 (12) ◽  
pp. 1125-1130 ◽  
Author(s):  
NOUREDDINE MOHAMMEDI
Keyword(s):  
Black Hole ◽  
Large Class ◽  
Two Dimensions ◽  
Coset Model ◽  
Black Hole Singularity

We show that the gauged SL (2, ℝ) WZWN model yields a large class of space-times in two dimensions. The c = 1 matter coupled to gravity and the black hole singularity are just two particular cases in these space-times.

scholarly journals Correlation functions in finite temperature CFT and black hole singularities

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
D. Rodriguez-Gomez ◽  
J.G. Russo
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Correlation Functions ◽  
Finite Temperature ◽  
Proper Time ◽  
Black Brane ◽  
Point Function ◽  
Black Hole Singularity ◽  
Point Correlation ◽  
Scaling Dimension

Abstract We compute thermal 2-point correlation functions in the black brane AdS5 background dual to 4d CFT’s at finite temperature for operators of large scaling dimension. We find a formula that matches the expected structure of the OPE. It exhibits an exponentiation property, whose origin we explain. We also compute the first correction to the two-point function due to graviton emission, which encodes the proper time from the event horizon to the black hole singularity.

scholarly journals Quantum gravity as a multitrace matrix model

2017 ◽  
Vol 32 (31) ◽  
pp. 1750180
Author(s):  
Badis Ydri ◽  
Cherine Soudani ◽  
Ahlam Rouag
Keyword(s):  
Quantum Gravity ◽  
Matrix Models ◽  
Large Class ◽  
Matrix Model ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Topology Change ◽  
New Model ◽  
And Topology ◽  
Emergent Geometry

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of two-dimensional quantum gravity which works away from two dimensions and captures a large class of spaces admitting a finite spectral triple. These multitrace matrix models sustain emergent geometry as well as growing dimensions and topology change.

On the black hole singularity issue in loop quantum gravityThis paper was presented at the Theory CANADA 4 conference, held at Centre de recherches mathématiques, Montréal, Québec, Canada on 4–7 June 2008.

2009 ◽  
Vol 87 (3) ◽  
pp. 255-262 ◽  
Author(s):  
A. DeBenedictis
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Technical Detail ◽  
Current Work ◽  
Intended Audience ◽  
Black Hole Singularity ◽  
Singularity Resolution

This paper presents a brief overview on the issue of singularity resolution in loop quantum gravity presented at the Theory CANADA IV conference at the Centre de Recherches Mathématiques at the Université de Montréal. The intended audience is theoretical physicists who are non-specialist in the field, and therefore much of the technical detail is omitted here. Instead, a brief review of loop quantum gravity is presented followed by a survey of previous and current work on results concerning the resolution of the classical black hole singularity within loop quantum gravity.

scholarly journals DILATONIC SUPERGRAVITY IN TWO DIMENSIONS AND THE DISAPPEARANCE OF QUANTUM BLACK HOLE

1993 ◽  
Vol 08 (01) ◽  
pp. 53-61 ◽  
Author(s):  
SHIN’ICHI NOJIRI ◽  
ICHIRO ODA
Keyword(s):  
Black Hole ◽  
Quantum Theory ◽  
Equations Of Motion ◽  
Two Dimensions ◽  
Cosmological Term ◽  
Supersymmetric Theory ◽  
Supergravity Theory ◽  
Quantum Black Hole ◽  
Quantum Action

We analyze a supergravity theory coupled to a dilaton and superconformal matters in two dimensions. This theory is classically soluble and we find all the solutions appeared in Callan, Giddings, Harvey and Strominger’s dilatonic gravity also satisfy the constraints and the equations of motion in this supersymmetric theory. We quantize this theory by following the procedure of Distler, Hlousek and Kawai. In the quantum action, the cosmological term is renormalized to vanish. As a result, any solution corresponding to classical black hole does not appear in the quantum theory, which should be compared with the non-supersymmetric case.

scholarly journals Vacuum polarization and the black hole singularity

1993 ◽  
Vol 10 (3) ◽  
pp. 497-503 ◽  
Author(s):  
W G Anderson ◽  
P R Brady ◽  
R Camporesi
Keyword(s):  
Black Hole ◽  
Vacuum Polarization ◽  
Black Hole Singularity

scholarly journals Black hole thermodynamics and information loss in two dimensions

1994 ◽  
Vol 50 (6) ◽  
pp. 3987-4014 ◽  
Author(s):  
Thomas M. Fiola ◽  
John Preskill ◽  
Andrew Strominger ◽  
Sandip P. Trivedi
Keyword(s):  
Black Hole ◽  
Information Loss ◽  
Two Dimensions ◽  
Black Hole Thermodynamics

scholarly journals Effective GUP-modified Raychaudhuri equation and black hole singularity: four models

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Keagan Blanchette ◽  
Saurya Das ◽  
Saeed Rastgoo
Keyword(s):  
Black Hole ◽  
Proper Time ◽  
Generalized Uncertainty Principle ◽  
Rate Of Change ◽  
Conjugate Points ◽  
Raychaudhuri Equation ◽  
Schwarzschild Black Hole ◽  
Effective Dynamics ◽  
Singularity Theorems ◽  
Black Hole Singularity

Abstract The classical Raychaudhuri equation predicts the formation of conjugate points for a congruence of geodesics, in a finite proper time. This in conjunction with the Hawking-Penrose singularity theorems predicts the incompleteness of geodesics and thereby the singular nature of practically all spacetimes. We compute the generic corrections to the Raychaudhuri equation in the interior of a Schwarzschild black hole, arising from modifications to the algebra inspired by the generalized uncertainty principle (GUP) theories. Then we study four specific models of GUP, compute their effective dynamics as well as their expansion and its rate of change using the Raychaudhuri equation. We show that the modification from GUP in two of these models, where such modifications are dependent of the configuration variables, lead to finite Kretchmann scalar, expansion and its rate, hence implying the resolution of the singularity. However, the other two models for which the modifications depend on the momenta still retain their singularities even in the effective regime.

scholarly journals Entropy of a charged black hole in two dimensions without cutoff

2007 ◽  
Vol 75 (12) ◽  
Author(s):  
Wontae Kim ◽  
Yong-Wan Kim ◽  
Young-Jai Park
Keyword(s):  
Black Hole ◽  
Two Dimensions ◽  
Charged Black Hole
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