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In loop quantum gravity, the quantum geometry of a black hole horizon consist of discrete non-perturbative quantum geometric excitations (or punctures) labeled by spins, which are responsible for the quantum area of the horizon. If these…

General Relativity and Quantum Cosmology · Physics 2016-11-07 Abhishek Majhi

We consider a spherical symmetric black hole in the Schwarzschild metric and apply Bohr-Sommerfeld quantization to determine the energy levels. The canonical partition function is then computed and we show that the entropy coincides with…

High Energy Physics - Theory · Physics 2010-11-19 Marco Frasca

The most general stationary black-hole solution of Einstein-Maxwell theory in vacuum is the Kerr-Newman metric, specified by three parameters: mass M, spin J and charge Q. Within classical general relativity, the most important and…

General Relativity and Quantum Cosmology · Physics 2013-06-19 Paolo Pani , Emanuele Berti , Leonardo Gualtieri

A genuine notion of black holes can only be obtained in the fundamental framework of quantum gravity resolving the curvature singularities and giving an account of the statistical mechanical, microscopic degrees of freedom able to explain…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Christian Röken

We review an idea that uses details of the quasinormal mode spectrum of a black hole to obtain the Bekenstein-Hawking entropy of $A/4$ in Loop Quantum Gravity. We further comment on a recent proposal concerning the quasinormal mode spectrum…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Olaf Dreyer

The Barbero-Immirzi parameter ($\gamma$) is introduced in loop quantum gravity (LQG) whose physical significance is still a biggest open question; because of its profound traits. In some cases, it is real-valued; while, it is complex-valued…

General Relativity and Quantum Cosmology · Physics 2022-09-22 Rakshit P. Vyas , Mihir J. Joshi

In the Loop Quantum Gravity, black holes (or even more general Isolated Horizons) are described by a SU(2) Chern-Simons theory. There is an equivalent formulation of the horizon degrees of freedom in terms of a U(1) gauge theory which is…

General Relativity and Quantum Cosmology · Physics 2012-02-09 Romesh K. Kaul

The entropy of a black hole can be obtained by counting states in loop quantum gravity. The dominant term depends on the Immirzi parameter involved in the quantization and is proportional to the area of the horizon, while there is a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Ghosh , P. Mitra

In the loop approach to quantum gravity the spectra of operators corresponding to such geometrical quantities as length, area and volume become quantized. However, the size of arising quanta of geometry in Planck units is not fixed by the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Kirill Krasnov

We compute the statistical entropy of a BTZ black hole in the context of three-dimensional Euclidean loop quantum gravity with a cosmological constant $\Lambda$. As in the four-dimensional case, a quantum state of the black hole is…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ernesto Frodden , Marc Geiller , Karim Noui , Alejandro Perez

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…

High Energy Physics - Theory · Physics 2014-11-18 Tomo Tanaka , Takashi Tamaki

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…

General Relativity and Quantum Cosmology · Physics 2022-12-29 J. Fernando Barbero G. , Daniele Pranzetti

In this study, we examine the impacts of black hole spin, Lorentz-violating parameter, and the scalar field's mass on quasinormal modes (QNMs) of rotating Einstein-Bumblebee black holes, including computations up to the second-order…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Weike Deng , Wentao Liu , Fen Long , Kui Xiao , Jiliang Jing

Using Monte Carlo simulations, we compute the integrated emission spectra of black holes in the framework of Loop Quantum Gravity (LQG). The black hole emission rates are governed by the entropy whose value, in recent holographic loop…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Aurelien Barrau , Xiangyu Cao , Karim Noui , Alejandro Perez

The elegant predictions of loop quantum gravity are obscured by the free Immirizi parameter. Dreyer (2003), considering the asymptotic quasinormal modes spectrum of a black hole, proposed that the Immirizi parameter may be fixed by letting…

General Relativity and Quantum Cosmology · Physics 2015-01-14 Muhammad Sadiq

In loop quantum gravity, a spherical black hole can be described in terms of a Chern-Simons theory on a punctured 2-sphere. The sphere represents the horizon. The punctures are the edges of spin-networks in the bulk which cross the horizon…

General Relativity and Quantum Cosmology · Physics 2016-07-11 Jibril Ben Achour , Karim Noui , Alejandro Perez

We argue for black hole entropy in loop quantum gravity (LQG) by taking into account the interpretation that there is no other side of the horizon. This gives new values for the Barbero-Immirzi parameter which are fairly larger than those…

High Energy Physics - Theory · Physics 2008-11-26 Takashi Tamaki

A new approach to black hole thermodynamics is proposed in Loop Quantum Gravity (LQG), by defining a new black hole partition function, followed by analytic continuations of Barbero-Immirzi parameter to $\gamma\in i\mathbb{R}$ and…

General Relativity and Quantum Cosmology · Physics 2014-02-11 Muxin Han

The detection of gravitational waves with ground-based laser interferometers has opened a new window to test and constrain General Relativity (GR) in the strong, dynamical, and non-linear regime. In this paper, we follow an agnostic…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Yuhao Guo , Swarnim Shashank , Cosimo Bambi

The general parametrization of spherically symmetric and asymptotically flat black-hole spacetimes in arbitrary metric theories of gravity was suggested in [3]. The parametrization is based on the continued fraction expansion in terms of…

General Relativity and Quantum Cosmology · Physics 2022-05-18 R. A. Konoplya , A. Zhidenko