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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

Black holes are probably among the most fascinating objects populating our universe. Their characteristic features found within general relativity, encompassing spacetime singularities, event horizons, and black hole thermodynamics, provide…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Koch , Frank Saueressig

The structure of the Cauchy Horizon singularity of a black hole formed in a generic collapse is studied by means of a renormalization group equation for quantum gravity. It is shown that during the early evolution of the Cauchy Horizon the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alfio Bonanno , Martin Reuter

With the two most profound conceptual revolutions of XXth century physics, quantum mechanics and relativity, which have culminated into relativistic spacetime geometry and quantum gauge field theory as the principles for gravity and the…

High Energy Physics - Theory · Physics 2017-08-23 Jan Govaerts

An outstanding open issue in our quest for physics beyond Einstein is the unification of general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading approach toward this goal. At its heart is the central lesson of…

General Relativity and Quantum Cosmology · Physics 2021-04-12 Abhay Ashtekar , Eugenio Bianchi

The arena normally used in black holes thermodynamics was recently generalized to incorporate a broad class of physically interesting situations. The key idea is to replace the notion of stationary event horizons by that of `isolated…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Abhay Ashtekar

Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's…

General Relativity and Quantum Cosmology · Physics 2014-03-06 Ovidiu Cristinel Stoica

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories, I show…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip

We present a quantum description of black holes given by coherent states of gravitons sourced by a matter core. The expected behaviour in the weak-field region outside the horizon is recovered, with arbitrarily good approximation, but the…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Roberto Casadio

The issue of black hole entropy is reexamined within a finite lattice framework along the lines of Wheeler, 't Hooft and Susskind, with an additional criterion to identify physical horizon states contributing to the entropy. As a…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

Geometries with horizons offer insights into relationships between general relativity and quantum physics. Quantum mechanics constrains relationships between kinematic parameters and the coordinates describing the dynamics. Example quantum…

General Relativity and Quantum Cosmology · Physics 2014-11-18 James Lindesay

This survey intends to cover recent approaches to black hole entropy which attempt to go beyond the standard semiclassical perspective. Quantum corrections to the semiclassical Bekenstein-Hawking area law for black hole entropy, obtained…

High Energy Physics - Theory · Physics 2009-10-31 Parthasarathi Majumdar

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

We review our recent proposal of a method to extend the quantization of spherically symmetric isolated horizons, a seminal result of loop quantum gravity, to a phase space containing horizons of arbitrary geometry. Although the details of…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Jonathan Engle , Christopher Beetle

This is a brief introduction to quantum aspects of black holes, addressed at an astrophysics-oriented audience. The topics are: The laws of black-hole mechanics, Hawking radiation, interpretation of entropy, and primordial black holes.

Astrophysics · Physics 2007-05-23 Claus Kiefer

Black Holes are possibly the most enigmatic objects in our Universe. From their detection in gravitational waves upon their mergers, to their snapshot eating at the centres of galaxies, black hole astrophysics has undergone an observational…

General Relativity and Quantum Cosmology · Physics 2020-01-28 Jahed Abedi , Niayesh Afshordi , Naritaka Oshita , Qingwen Wang

The Horizon Quantum Mechanics is an approach that allows one to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. We first review the (global) formalism…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

Quantum gravity phenomenology suggests the interesting possibility that black holes are not eternal. Collapse could be halted by some unknown mechanism, or Hawking radiation might leave behind a regular spacetime. Here we investigate a…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Vitor Cardoso , João L. Costa , José Natário , Zhen Zhong

Recent years have witnessed a rise in interest in the geometrical trinity of General Relativity and its extensions. This interest has been fuelled by novel insights into the nature of gravity, the possibility to address computational and…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Lavinia Heisenberg

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