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The recent observation of gravitational waves confirms one of the most interesting predictions in general relativity: the black holes. Because the gravitational waves detected by LIGO fit very well within general relativity as a phenomenon…

General Relativity and Quantum Cosmology · Physics 2017-03-07 J. C. S. Neves

Introducing the concept of the extreme trapping horizon, we discuss geometric features of dynamical extreme black holes in four dimensions and then derive the integral identities which hold for the dynamical extreme black holes. We address…

General Relativity and Quantum Cosmology · Physics 2013-08-16 Tetsuya Shiromizu , Sumio Yamada , Kentaro Tanabe

Everybody knows what the classical black holes are. In short, this is a spacetime region beyond the so-called event horizon. The notion of the event horizon is mathematically well defined. The situation with a definition of quantum black…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Victor Berezin

Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical gravitational backgrounds involving black holes or branes naturally lead to quasinormal modes. The analysis and classification of the quasinormal spectra…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emanuele Berti , Vitor Cardoso , Andrei O. Starinets

Coherent quantum black holes are quantum geometries obtained by means of a mean-field-like approach to the gravitational interaction. This procedure attenuates the classical spacetime singularities of general relativity by replacing them…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Tommaso Antonelli , Andrea Giusti , Roberto Casadio , Lavinia Heisenberg

We show that in the limit where the number of spacetime dimensions D grows to infinity a very large class of black holes (including non-extremal, static, asymptotically flat ones, with any number of gauge-field charges, possibly coupled to…

High Energy Physics - Theory · Physics 2014-03-19 Roberto Emparan , Kentaro Tanabe

This article introduces the subject of quasi-local horizons at a level suitable for physics graduate students who have taken a first course on general relativity. It reviews properties of trapped surfaces and trapped regions in some simple…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Badri Krishnan

Quasinormal modes of perturbed black holes have recently gained much interest because of their tight relations with the gravitational wave signals emitted during the post-merger phase of a binary black hole coalescence. One of the…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Che-Yu Chen , Mariam Bouhmadi-López , Pisin Chen

In this paper, we construct the quasi-normal modes of three-dimensional extremal black holes in an algebraic way. We show that the infinite towers of the quasi-normal modes of scalar, vector and tensor could be constructed as the…

High Energy Physics - Theory · Physics 2011-05-03 Bin Chen , Jia-ju Zhang

For distant observers black holes are trapped spacetime domains bounded by apparent horizons. We review properties of the near-horizon geometry emphasizing the consequences of two common implicit assumptions of semiclassical physics. The…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Robert B. Mann , Sebastian Murk , Daniel R. Terno

This talk gives a brief introduction to black hole horizons and their role in black hole thermodynamics. In particular a distinction is made between quasi-locally defined horizons and event horizons. Currently some new techniques have led…

General Relativity and Quantum Cosmology · Physics 2007-11-05 Alex B. Nielsen

Astrophysical black hole candidates, although long thought to have a horizon, could be horizonless ultra-compact objects. This intriguing possibility is motivated by the black hole information paradox and a plausible fundamental connection…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Bob Holdom , Jing Ren

Black holes play a fundamental role in modern physics. They have characteristic oscillation modes, called quasinormal modes. Past studies have shown that these modes are important to our understanding of the dynamics of astrophysical black…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Vitor Cardoso

Quasi-static systems are an important concept in thermodynamics: they are dynamic but close enough to equilibrium that many properties of equilibrium systems still hold. Slowly evolving horizons are the corresponding concept for…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Ivan Booth

Quasinormal modes provide valuable information about the structure of spacetime outside a black hole. There is also a conjectured relationship between the highly damped quasinormal modes and the semi-classical spectrum of the horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-28 James Babb , Ramin G. Daghigh , Gabor Kunstatter

It is argued that in certain 2d dilaton gravity theories there exist self-consistent solutions of field equations with quantum terms which describe extreme black holes at nonzero temperature. The curvature remains finite on the horizon due…

High Energy Physics - Theory · Physics 2009-10-31 O. B. Zaslavskii

While the early literature on black holes focused on event horizons, subsequently it was realized that their teleological nature makes them unsuitable for many physical applications both in classical and quantum gravity. Therefore, over the…

General Relativity and Quantum Cosmology · Physics 2025-11-21 Abhay Ashtekar , Badri Krishnan

It has been argued that ultracompact objects, which possess light rings but no horizons, may be unstable against gravitational perturbations. To test this conjecture, we revisit the quasi-black hole solutions, a family of horizonless…

General Relativity and Quantum Cosmology · Physics 2022-01-24 Minyong Guo , Zhen Zhong , Jinguang Wang , Sijie Gao

Black and white holes play remarkably contrasting roles in general relativity versus observational astrophysics. While there is overwhelming observational evidence for the existence of compact objects that are "cold, dark, and heavy", which…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Rudeep Gaur , Matt Visser

Perturbations of stars and black holes have been one of the main topics of relativistic astrophysics for the last few decades. They are of particular importance today, because of their relevance to gravitational wave astronomy. In this…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Kostas D. Kokkotas , Bernd G. Schmidt