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A brief reference to the two Schwarzschild solutions and what Petrov had to say about them is given. Comments on how the Schwarzschild vacuum solution describes a black hole are also provided. Then we compare the properties, differences and…

General Relativity and Quantum Cosmology · Physics 2012-11-09 José P. S. Lemos

We study the state-counting problem that arises in the SU(2) black hole entropy calculation in loop quantum gravity. More precisely, we compute the leading term and the logarithmic correction of both the spherically symmetric and the…

General Relativity and Quantum Cosmology · Physics 2012-08-15 Jonathan Engle , Karim Noui , Alejandro Perez , Daniele Pranzetti

It is a common wisdom that properties of macroscopic bodies are well described by (semi)classical physics. As we have suggested this wisdom is not applicable to black holes. Despite being macroscopic, black holes are quantum objects. They…

High Energy Physics - Theory · Physics 2012-12-05 Gia Dvali , Cesar Gomez

Bringing gravity into a quantum-mechanical framework is likely the most profound remaining problem in fundamental physics. The "unitarity crisis" for black hole evolution appears to be a key facet of this problem, whose resolution will…

General Relativity and Quantum Cosmology · Physics 2021-02-22 Steven B. Giddings

Loop Quantum Gravity is a theory that attempts to describe the quantum mechanics of the gravitational field based on the canonical quantization of General Relativity. According to Loop Quantum Gravity, in a gravitational field, geometric…

General Relativity and Quantum Cosmology · Physics 2021-12-16 W. F. Chagas-Filho

Recent results on the quantum mechanics of black holes indicate that the spacetime singularity can be avoided if the space of fields is extended in its domain as well as the vanishing of beta functions required as an equation in target…

High Energy Physics - Theory · Physics 2007-05-23 Michael McGuigan

An elementary introduction is given to the problem of black hole entropy as formulated by Bekenstein and Hawking. The information theoretic basis of Bekenstein's formulation is briefly reviewed and compared with Hawking's approach. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Parthasarathi Majumdar

In an attempt to re-establish space-time as an essential frame for formulating quantum gravity - rather than an "emergent" one -, we find that exact invariance under scale transformations is an essential new ingredient for such a theory.…

General Relativity and Quantum Cosmology · Physics 2009-09-21 Gerard 't Hooft

Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting non-rotating isolated horizons as inner…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Ashtekar , J. Baez , K. Krasnov

Beginning with Bekenstein, many authors have considered a uniformly spaced discrete quantum spectrum for black hole horizon area. It is also believed that the huge degeneracy of these area levels corresponds to the notion of black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Gilad Gour

String theory is a promising candidate for a fundamental quantum theory of all interactions including Einstein gravity. Some solutions in string theory can be interpreted as black holes. Using the semi-analytic method and WKB method,the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Xin-zhou Li , Jian-gang Hao , Dao-jun Liu

I review elements of the foundations of black-hole theory with attention to problematic issues, and describe some techniques which either seem to help with the difficulties or at least investigate their scope. The definition of black holes…

General Relativity and Quantum Cosmology · Physics 2011-05-11 Adam D. Helfer

A coarse-grained version of the effective action is used to study the thermodynamics of black holes, interpolating from largest to smallest masses. The physical parameter of the black hole are linked to the running couplings by…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Kevin Falls , Daniel F. Litim

We analyze the relationship between entanglement (or geometric) entropy with statistical mechanical entropy of horizon degrees of freedom when described in the framework of isolated horizons in loop quantum gravity. We show that, once the…

General Relativity and Quantum Cosmology · Physics 2014-10-15 Alejandro Perez

This is a review of the results on black hole physics in the framework of loop quantum gravity. The key feature underlying the results is the discreteness of geometric quantities at the Planck scale predicted by this approach to quantum…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Alejandro Perez

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity\cite{rst1}, using recently developed Noether charge techniques\cite{wald1}. This latter approach is extended to accomodate the non-local form of the…

High Energy Physics - Theory · Physics 2010-11-01 Robert C. Myers

We show that counting different configurations that give rise to black hole entropy in loop quantum gravity is related to partitions in number theory.

General Relativity and Quantum Cosmology · Physics 2011-04-07 J. Manuel Garcia-Islas

A general formulation of the basic conflict of the information problem is given, encapsulated in a "black hole theorem." This is framed in a more general context than the usual one of quantum field theory on a background, and is based on…

High Energy Physics - Theory · Physics 2023-02-27 Steven B. Giddings

To derive black hole thermodynamics in any quantum theory of gravity, one must introduce constraints that ensure that a black hole is actually present. For a large class of black holes, the imposition of such ``horizon constraints'' allows…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. Carlip

Quantum considerations have led many theorists to believe that classical black hole physics is modified not just deep inside black holes but at {\it horizon scales}, or even further outward. The near-horizon regime has just begun to be…

General Relativity and Quantum Cosmology · Physics 2016-11-14 Steven B. Giddings
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