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This is a review of current theory of black-hole dynamics, concentrating on the framework in terms of trapping horizons. Summaries are given of the history, the classical theory of black holes, the defining ideas of dynamical black holes,…

General Relativity and Quantum Cosmology · Physics 2009-02-28 Sean A. Hayward

In these lectures general relativity is outlined as the classical field theory of gravity, emphasizing physical phenomena rather than mathematical formalism. Dynamical solutions representing traveling waves as well as stationary fields like…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. W. van Holten

The recent detections of gravitational waves from binary systems of black holes are in remarkable agreement with the predictions of General Relativity. In this pedagogical mini-review, I will go through the physics of the different phases…

General Relativity and Quantum Cosmology · Physics 2021-11-24 Enrico Barausse

A detailed description of how black holes grow in full, non-linear general relativity is presented. The starting point is the notion of dynamical horizons. Expressions of fluxes of energy and angular momentum carried by gravitational waves…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Abhay Ashtekar , Badri Krishnan

Two new observational windows have been opened to strong gravitational physics: gravitational waves, and very long baseline interferometry. This suggests observational searches for new phenomena in this regime, and in particular for those…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Steven B. Giddings , Seth Koren , Gabriel Treviño

The grand challenges of contemporary fundamental physics---dark matter, dark energy, vacuum energy, inflation and early universe cosmology, singularities and the hierarchy problem---all involve gravity as a key component. And of all…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Leor Barack , Vitor Cardoso , Samaya Nissanke , Thomas P. Sotiriou , Abbas Askar , Krzysztof Belczynski , Gianfranco Bertone , Edi Bon , Diego Blas , Richard Brito , Tomasz Bulik , Clare Burrage , Christian T. Byrnes , Chiara Caprini , Masha Chernyakova , Piotr Chrusciel , Monica Colpi , Valeria Ferrari , Daniele Gaggero , Jonathan Gair , Juan Garcia-Bellido , S. F. Hassan , Lavinia Heisenberg , Martin Hendry , Ik Siong Heng , Carlos Herdeiro , Tanja Hinderer , Assaf Horesh , Bradley J. Kavanagh , Bence Kocsis , Michael Kramer , Alexandre Le Tiec , Chiara Mingarelli , Germano Nardini , Gijs Nelemans , Carlos Palenzuela , Paolo Pani , Albino Perego , Edward K. Porter , Elena M. Rossi , Patricia Schmidt , Alberto Sesana , Ulrich Sperhake , Antonio Stamerra , Leo C. Stein , Nicola Tamanini , Thomas M. Tauris , L. Arturo Urena-Lopez , Frederic Vincent , Marta Volonteri , Barry Wardell , Norbert Wex , Kent Yagi , Tiziano Abdelsalhin , Miguel Angel Aloy , Pau Amaro-Seoane , Lorenzo Annulli , Manuel Arca-Sedda , Ibrahima Bah , Enrico Barausse , Elvis Barakovic , Robert Benkel , Charles L. Bennett , Laura Bernard , Sebastiano Bernuzzi , Christopher P. L. Berry , Emanuele Berti , Miguel Bezares , Jose Juan Blanco-Pillado , Jose Luis Blazquez-Salcedo , Matteo Bonetti , Mateja Boskovic , Zeljka Bosnjak , Katja Bricman , Bernd Bruegmann , Pedro R. Capelo , Sante Carloni , Pablo Cerda-Duran , Christos Charmousis , Sylvain Chaty , Aurora Clerici , Andrew Coates , Marta Colleoni , Lucas G. Collodel , Geoffrey Compere , William Cook , Isabel Cordero-Carrion , Miguel Correia , Alvaro de la Cruz-Dombriz , Viktor G. Czinner , Kyriakos Destounis , Kostas Dialektopoulos , Daniela Doneva , Massimo Dotti , Amelia Drew , Christopher Eckner , James Edholm , Roberto Emparan , Recai Erdem , Miguel Ferreira , Pedro G. Ferreira , Andrew Finch , Jose A. Font , Nicola Franchini , Kwinten Fransen , Dmitry Gal'tsov , Apratim Ganguly , Davide Gerosa , Kostas Glampedakis , Andreja Gomboc , Ariel Goobar , Leonardo Gualtieri , Eduardo Guendelman , Francesco Haardt , Troels Harmark , Filip Hejda , Thomas Hertog , Seth Hopper , Sascha Husa , Nada Ihanec , Taishi Ikeda , Amruta Jaodand , Philippe Jetzer Xisco Jimenez-Forteza , Marc Kamionkowski , David E. Kaplan , Stelios Kazantzidis , Masashi Kimura , Shiho Kobayashi , Kostas Kokkotas , Julian Krolik , Jutta Kunz , Claus Lammerzahl , Paul Lasky , Jose P. S. Lemos , Jackson Levi Said , Stefano Liberati , Jorge Lopes , Raimon Luna , Yin-Zhe Ma , Elisa Maggio , Marina Martinez Montero , Andrea Maselli , Lucio Mayer , Anupam Mazumdar , Christopher Messenger , Brice Menard , Masato Minamitsuji , Christopher J. Moore , David Mota , Sourabh Nampalliwar , Andrea Nerozzi , David Nichols , Emil Nissimov , Martin Obergaulinger , Niels A. Obers , Roberto Oliveri , George Pappas , Vedad Pasic , Hiranya Peiris , Tanja Petrushevska , Denis Pollney , Geraint Pratten , Nemanja Rakic , Istvan Racz , Miren Radia , Fethi M. Ramazanouglu , Antoni Ramos-Buades , Guilherme Raposo , Roxana Rosca-Mead , Marek Rogatko , Dorota Rosinska , Stephan Rosswog , Ester Ruiz Morales , Mairi Sakellariadou , Nicolas Sanchis-Gual , Om Sharan Salafia , Anuradha Samajdar , Alicia Sintes , Majda Smole , Carlos Sopuerta , Rafael Souza-Lima , Marko Stalevski , Nikolaos Stergioulas , Chris Stevens , Tomas Tamfal , Alejandro Torres-Forne , Sergey Tsygankov , Kivanc Unluturk , Rosa Valiante , Maarten van de Meent , Jose Velhinho , Yosef Verbin , Bert Vercnocke , Daniele Vernieri , Rodrigo Vicente , Vincenzo Vitagliano , Amanda Weltman , Bernard Whiting , Andrew Williamson , Helvi Witek , Aneta Wojnar , Kadri Yakut , Haopeng Yan , Stoycho Yazadjiev , Gabrijela Zaharijas , Miguel Zilhao

To explain black hole thermodynamics in quantum gravity, one must introduce constraints to ensure that a black hole is actually present. I show that for a large class of black holes, such ``horizon constraints'' allow the use of conformal…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

Theories of dynamical electroweak symmetry breaking predict a strong first order cosmological phase transition: we compute the resulting signals, primordial black holes and gravitational waves. These theories employ one SM-neutral scalar,…

High Energy Physics - Phenomenology · Physics 2025-03-06 Martín Arteaga , Anish Ghoshal , Alessandro Strumia

Black holes behave as thermodynamic systems, and a central task of any quantum theory of gravity is to explain these thermal properties. A statistical mechanical description of black hole entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We study the conditions for 2-dimensional dilaton gravity models to have dynamical formation of black holes and construct all such models. Furthermore we present a parametric representation of the general solutions of the black holes.

General Relativity and Quantum Cosmology · Physics 2014-11-17 T. Futamase , M. Hotta , Y. Itoh

We employ the recently proposed formalism of the "horizon wave-function" to investigate the emergence of a horizon in models of black holes as Bose-Einstein condensates of gravitons. We start from the Klein-Gordon equation for a massless…

High Energy Physics - Theory · Physics 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi

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

For most of cosmic history, the evolution of our Universe has been governed by the physics of a 'dark sector', consisting of dark matter and dark energy, whose properties are only understood in a schematic way. The influence of these…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-25 Øyvind Christiansen , Julian Adamek , Farbod Hassani , David F. Mota

We review the insights into black hole entropy that arise from the formulation of gravitation theory in terms of dimensional continuation. The role of the horizon area and the deficit angle of a conical singularity at the horizon as…

High Energy Physics - Theory · Physics 2007-05-23 C. Teitelboim

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

Black holes are more than just odd-looking curiosities in gravity theory. They uniquely intertwine the basic principles of General Relativity with those of Quantum Theory. Just by demanding that they nevertheless obey acceptable laws of…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Gerard t Hooft

These notes summarize basic concepts underlying numerical relativity and in particular the numerical modeling of black hole dynamics as a source of gravitational waves. Main topics are the 3+1 decomposition of general relativity, the…

General Relativity and Quantum Cosmology · Physics 2009-02-26 Sascha Husa

From the microscopic point of view, realistic black holes are time-dependent and the teleological concept of event horizon fails. At present, the apparent or the trapping horizon seem its best replacements in various areas of black hole…

General Relativity and Quantum Cosmology · Physics 2013-09-20 Valerio Faraoni

The gravitational force harbours a fundamental instability against collapse. In standard General Relativity without Quantum Mechanics, this implies the existence of black holes as natural, stable solutions of Einstein's equations. If one…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Gerard 't Hooft

Ten short years ago, we had the rare privilege of witnessing the onset of a renaissance in science: humanity finally succeeded in its arduous quest to directly detect gravitational waves. This breakthrough did not occur in a vacuum: it was…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Vitor Cardoso , Shauvik Biswas , Subhodeep Sarkar
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