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Loop quantum gravity can account for the Bekenstein-Hawking entropy of a black hole provided a free parameter is chosen appropriately. Recently, it was proposed that a new choice of the Immirzi parameter could predict both black hole…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Alejandro Corichi

Equilibrium states of black holes can be modelled by isolated horizons. If the intrinsic geometry is spherical, they are called type I while if it is axi-symmetric, they are called type II. The detailed theory of geometry of \emph{quantum}…

广义相对论与量子宇宙学 · 物理学 2010-11-05 Abhay Ashtekar , Jonathan Engle , Chris Van Den Broeck

In loop quantum gravity the quantum states of a black hole horizon are produced by point-like discrete quantum geometry excitations (or {\em punctures}) labelled by spin $j$. The excitations possibly carry other internal degrees of freedom…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Amit Ghosh , Karim Noui , Alejandro Perez

We give an account of the state of the art about black hole entropy in Loop Quantum Gravity. This chapter contains a historical summary and explains how black hole entropy is described by relying on the concept of isolated horizon, with an…

广义相对论与量子宇宙学 · 物理学 2022-12-29 J. Fernando Barbero G. , Daniele Pranzetti

We present an overall picture of the advances in the description of black hole physics from the perspective of loop quantum gravity. After an introduction that discusses the main conceptual issues we present some details about the classical…

广义相对论与量子宇宙学 · 物理学 2015-01-14 J. Fernando Barbero G. , Alejandro Perez

In LQG, black hole horizons are described by 2+1 dimensional boundaries of a bulk 3+1 dimensional spacetime. The horizon is endowed with area by lines of gravitational flux which pierce the surface. As is well known, counting of the…

广义相对论与量子宇宙学 · 物理学 2012-08-17 Deepak Vaid

We are interested in black holes in Loop Quantum Gravity (LQG). We study the simple model of static black holes: the horizon is made of a given number of identical elementary surfaces and these small surfaces all behaves as a spin-s system…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Etera R. Livine , Daniel R. Terno

We consider the possibility that the horizon area is expressed by the general area spectrum in loop quantum gravity and calculate the black hole entropy by counting the degrees of freedom in spin-network states related to its area. Although…

高能物理 - 理论 · 物理学 2014-11-18 Tomo Tanaka , Takashi Tamaki

Recently it has been proposed that a strange logarithmic expression for the so-called Barbero-Immirzi parameter, which is one of the ingredients that are necessary for Loop Quantum Gravity (LQG) to predict the correct black hole entropy, is…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Lubos Motl

We calculate the black hole entropy in Loop Quantum Gravity as a function of the horizon area and provide the exact formula for the leading and sub-leading terms. By comparison with the Bekenstein-Hawking formula we uniquely fix the value…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Krzysztof A. Meissner

In Loop Quantum Gravity (LQG) the quantisation of General Relativity leads to precise predictions for the eigenvalues of geometrical observables like volume and area, up to the value of the only free parameter of the theory, the…

广义相对论与量子宇宙学 · 物理学 2021-01-01 Cássio Pigozzo , Flora S. Bacelar , Saulo Carneiro

A proper counting of states for black holes in the quantum geometry approach shows that the dominant configuration for spins are distributions that include spins exceeding one-half at the punctures. This raises the value of the Immirzi…

广义相对论与量子宇宙学 · 物理学 2009-11-10 A. Ghosh , P. Mitra

The geometric operators of area, volume, and length, depend on a fundamental length l of quantum geometry which is a priori arbitrary rather than equal to the Planck length l_P. The fundamental length l and the Immirzi parameter $\gamma$…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Rainer

The issue of a possible damping of the entropy periodicity for large black holes in Loop Quantum Gravity is highly debated. Using a combinatorics/analysis approach, we give strong arguments in favor of this damping, at least for…

广义相对论与量子宇宙学 · 物理学 2011-11-09 Xiangyu Cao , Aurelien Barrau

Earlier calculations of black hole entropy in loop quantum gravity have given a term proportional to the area with a correction involving the logarithm of the area when the area eigenvalue is close to the classical area. However the…

广义相对论与量子宇宙学 · 物理学 2014-06-25 P. Mitra

We give a complete and detailed description of the computation of black hole entropy in loop quantum gravity by employing the most recently introduced number-theoretic and combinatorial methods. The use of these techniques allows us to…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Ivan Agullo , J. Fernando Barbero G. , Enrique F. Borja , Jacobo Diaz-Polo , Eduardo J. S. Villaseñor

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we…

高能物理 - 理论 · 物理学 2009-10-30 Andrew Strominger

In loop quantum gravity, the number $N_\Gamma(A,\gamma)$ of microstates of a black hole for a given discrete geometry $\Gamma$ depends on the so-called Barbero-Immirzi parameter $\gamma$. Using a suitable analytic continuation of $\gamma$…

广义相对论与量子宇宙学 · 物理学 2014-07-08 Ernesto Frodden , Marc Geiller , Karim Noui , Alejandro Perez

It is argued that the quantum of area between consecutive, high overtones quasinormal modes of a black hole horizon coincides with the area gap predicted by Loop Quantum Gravity, as long as the horizon is isolated and the Barbero-Immirzi…

广义相对论与量子宇宙学 · 物理学 2022-02-16 Saulo Carneiro , Cássio Pigozzo

We give a practical method to exactly compute black hole entropy in the framework of Loop Quantum Gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ivan Agullo , J. Fernando Barbero G. , Jacobo Diaz-Polo , Enrique Fernandez-Borja , Eduardo J. S. Villaseñor