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I summarize the basic ideas and formalism of loop quantum gravity. I illustrate the results on the discrete aspects of quantum geometry and two applications of these results to black hole physics. In particular, I discuss in detail a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Carlo Rovelli

A short overview of black hole entropy in alternative gravitational theories is presented. Motivated by the recent attempts to explain the cosmic acceleration without dark energy, we focus on metric and Palatini f(R) gravity and on…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Valerio Faraoni

The entropy of black holes in modified theories of gravity is examined in the Palatini formalism using the Noether Charge approach. It is shown that, if the gravitational coupling constant is properly identified, the entropy of a black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dan N. Vollick

In this paper we focus on the Hamilton-Jacobi method to determine the entropy of a self-dual black hole by using linear and quadratic GUPs(generalized uncertainty principles). We have obtained the Bekenstein-Hawking entropy of self-dual…

High Energy Physics - Theory · Physics 2015-09-30 M. A. Anacleto , F. A. Brito , E. Passos

For a thermodynamic system, apart from thermal fluctuations, there are also fluctuations in thermodynamic volume when the system is in contact with a volume reservoir. For the case of black holes in anti-de Sitter spacetimes, the effect of…

High Energy Physics - Theory · Physics 2022-10-13 Aritra Ghosh , Sudipta Mukherji , Chandrasekhar Bhamidipati

In this paper, we examine a generic theory of 1+1-dimensional gravity with coupling to a scalar field. Special attention is paid to a class of models that have a power-law form of dilaton potential and can capably admit black hole…

High Energy Physics - Theory · Physics 2009-11-07 A. J. M. Medved

The quantum entropy of the Kerr black hole arising from gravitational perturbation is investigated by using Null tetrad and \'t Hooft\'s brick-wall model. It is shown that effect of the graviton\'s spins on the subleading correction is…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jiliang Jing , Mu-Lin Yan

Wald's formula for black hole entropy, applied to extremal black holes, leads to the entropy function formalism. We manipulate the entropy computed this way to express it as the logarithm of the ground state degeneracy of a dual quantum…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

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}…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Abhay Ashtekar , Jonathan Engle , Chris Van Den Broeck

Typically, the entropy of an isolated system in equilibrium is calculated by counting the number of accessible microstates, or in more general cases by using the Gibbs formula. In irreversible processes entropy spontaneously increases and…

Statistical Mechanics · Physics 2020-04-16 Taha A Malik , Rafael Lopez-Mobilia

The statistical mechanical calculation of the thermodynamical properties of non-rotating isolated horizons are studied in the loop quantum gravity framework. By employing the Hawking temperature and horizon mass of isolated horizons as…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Shupeng Song , Gaoping Long , Cong Zhang , Xiangdong Zhang

In this note we reply to the criticism by Corichi concerning our proposal for an equidistant area spectrum in loop quantum gravity. We further comment on the emission properties of black holes and on the statistics of links.

High Energy Physics - Theory · Physics 2009-11-10 A. Alekseev , A. P. Polychronakos , M. Smedback

We explore the method of entanglement entropy applied to 2d black holes. We introduce a solvable model of a real scalar field with finite volume and lattice spacing in terms of $N$ coupled mechanical oscillators and compute its entanglement…

High Energy Physics - Theory · Physics 2007-05-23 P. Valtancoli

We propose a way to describe the origin of black hole entropy in the spin foam models of quantum gravity. This stimulates a new way to study the relation of spin foam models and loop quantum gravity.

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Manuel Garcia-Islas

Recent attempts to calculate the black-hole entropy in loop quantum gravity are demonstrated to be erroneous. The correct solution of the problem is pointed out.

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. B. Khriplovich

The black hole entropy calculation for type I isolated horizons, based on loop quantum gravity, is extended to include non-minimally coupled scalar fields. Although the non-minimal coupling significantly modifies quantum geometry, the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Abhay Ashtekar , Alejandro Corichi

The algebraic approach to black hole quantization requires the horizon area eigenvalues to be equally spaced. As shown previously, for a neutral non-rotating black hole, such eigenvalues must be $2^{n}$-fold degenerate if one constructs the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gilad Gour

Using the quantum statistical method, the difficulty of solving the wave equation on the background of the black hole is avoided.We directly solve the partition functions of Bose and Fermi field on the background of an axisymmetric…

General Relativity and Quantum Cosmology · Physics 2009-01-01 Zhao Ren , Zhang Li-Chun , Li Huai-Fan , Wu Yue-Qin

The basic features of a quantum field theory which is Poincar\'e invariant, gauge invariant, finite and unitary to all orders of perturbation theory are reviewed. Quantum gravity is finite and unitary to all orders of perturbation theory.…

High Energy Physics - Theory · Physics 2007-05-23 J. W. Moffat

In this paper, we investigate the Hawking radiation of the quantum Oppenheimer- Snyde black hole with the tunneling scheme by Parikh and Wilczek. We calculate the emission rate of massless scalar particles. Compared to the traditional…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Hongwei Tan , Rong-Zhen Guo , Jingyi Zhang
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