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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

The traditional description of black holes in terms of event horizons is inadequate for many physical applications, especially when studying black holes in non-stationary spacetimes. In these cases, it is often more useful to use the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Badri Krishnan

Working in a semi-classical setting, we consider solutions of the Einstein equations that exhibit light trapping in finite time according to distant observers. In spherical symmetry, we construct near-horizon quantities from the assumption…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Pravin K. Dahal , Fil Simovic , Ioannis Soranidis , Daniel R. Terno

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

A recently developed tool allows for a description of spacetime as a manifold with a Lorentz-invariant (lower) limit length built-in. This is accomplished in terms of geometric quantities depending on two spacetime events (bitensors) and…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Alessandro Pesci

We present a coordinate-independent method for extracting mass (M) and angular momentum (J) of a black hole in numerical simulations. This method, based on the isolated horizon framework, is applicable both at late times when the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Olaf Dreyer , Badri Krishnan , Eric Schnetter , Deirdre Shoemaker

Recently the Event Horizon Telescope observed black holes at event horizon scales for the first time, enabling us to now test the existence of event horizons. Although event horizons have by definition no observable features, one can look…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Joost de Kleuver , Thomas Bronzwaer , Heino Falcke , Ramesh Narayan , Yosuke Mizuno , Oliver Porth , Hector Olivares

In four dimensions the topology of the event horizon of an asymptotically flat stationary black hole is uniquely determined to be the two-sphere $S^2$. We consider the topology of event horizons in higher dimensions. First, we reconsider…

High Energy Physics - Theory · Physics 2009-11-11 C. Helfgott , Y. Oz , Y. Yanay

This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chrusciel

It is shown that in the extreme limit with a zero surface gravity but nonzero local temperature the limiting metric of a generic static black hole is determined by a metric induced on a horizon and one function of two coordinates,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 O. B. Zaslavskii

We construct the spacetime in the vicinity of a general isolated, rotating, charged black hole. The black hole is modeled as a weakly isolated horizon, and we use the characteristic initial value formulation of the Einstein equations with…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Badri Krishnan

We introduce the concept of a geometric horizon, which is a surface distinguished by the vanishing of certain curvature invariants which characterize its special algebraic character. We motivate its use for the detection of the event…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Alan Coley , David McNutt

Recently, new exploratory channels have opened up for the physics of highly compact objects, such as gravitational waves and black hole shadows. Moreover, more precise analysis and observations are now possible in the physics of accretion…

General Relativity and Quantum Cosmology · Physics 2024-10-01 D. Pugliese , H. Quevedo

How the supermassive black hole SgrA* in the Milky Way Center looks like for a distant observer? It depends on the black hole highlighting by the surrounding hot matter. The black hole shadow (the photon capture cross-section) would be…

High Energy Astrophysical Phenomena · Physics 2019-05-14 Vyacheslav Dokuchaev

We study event horizons of non-axisymmetric black holes and show how features found in axisymmetric studies of colliding black holes and of toroidal black holes are non-generic and how new features emerge. Most of the details of black hole…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Sascha Husa , Jeffrey Winicour

The problem of the event horizon in relativistic gravity is discussed. Singular solutions in general relativity are well known. The Schwarschild metric of a spherical mass is singular at zero ($r = 0$) and at the event horizon ($r = r_g$).…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Svetlana Andrusenko , Daniil Krichevskiy , Valentin Rudenko

We show that it is possible to locate the event horizons of a black hole (in arbitrary dimensions) as the zeros of certain Cartan invariants. This approach accounts for the recent results on the detection of stationary horizons using scalar…

General Relativity and Quantum Cosmology · Physics 2020-01-13 D. D. McNutt , M. A. H. MacCallum , D. Gregoris , A. Forget , A. A. Coley , P. C. Chavy-Waddy , D. Brooks

We initiate the development of a horizon-based initial (or rather final) value formalism to describe the geometry and physics of the near-horizon spacetime: data specified on the horizon and a future ingoing null boundary determine the…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Sharmila Gunasekaran , Ivan Booth

The images of the supermassive black holes Sgr A* and M87* by the Event Horizon Telescope (EHT) collaboration mark a special milestone in the history of the subject. For the first time we are able to see the shadow of black holes, testing…

High Energy Astrophysical Phenomena · Physics 2022-08-02 Heino Falcke

Black holes in general relativity are characterized by their trapping horizon, a one-way membrane that can be crossed only inwards. The existence of trapping horizons in astrophysical black holes can be tested observationally using a…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Raúl Carballo-Rubio , Pawan Kumar , Wenbin Lu