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It is shown that the event horizon of 4D black hole or $ds^2 = 0$ surfaces of multidimensional wormhole-like solutions reduce the amount of information necessary for determining the whole spacetime and hence satisfy the Holography…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Dzhunushaliev

We discuss black hole spacetimes with a geometrically defined quasi-local horizon on which the curvature tensor is algebraically special relative to the alignment classification. Based on many examples and analytical results, we conjecture…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Alan A. Coley , David D. McNutt , Andrey A. Shoom

Black holes are among the most exciting phenomena predicted by General Relativity and play a key role in fundamental physics. Many interesting phenomena involve dynamical black hole configurations in the high curvature regime of gravity. In…

General Relativity and Quantum Cosmology · Physics 2013-10-11 Helvi Witek

We argue that the event horizon of a binary black hole merger, in the extreme-mass-ratio limit where one of the black holes is much smaller than the other, can be described in an exact analytic way. This is done by tracing in the…

General Relativity and Quantum Cosmology · Physics 2022-03-07 Roberto Emparan , Marina Martinez

It is known from the work of Banados et al. that a space-time with event horizons (much like the Schwarzschild black hole) can be obtained from 2+1 dimensional anti-de Sitter space through a suitable identification of points. We point out…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Stefan Aminneborg , Ingemar Bengtsson , Soren Holst , Peter Peldan

The introduction of coordinates representing the points of view of various observers results in the possibility of horizons when acceleration and gravitation are included. A horizon is a surface of possible light beams in a region of space…

General Relativity and Quantum Cosmology · Physics 2007-06-26 James Lindesay

Based on an investigation into the near-horizon geometrical description of black hole spacetimes (the so-called "($r$,$t$) sector"), we find that the surface area of the event horizon of a black hole is mirrored in the area of a…

General Relativity and Quantum Cosmology · Physics 2020-04-30 Charles W. Robson , Marco Ornigotti

In dynamical spacetimes, apparent and event horizons do not coincide. In this paper we propose a geometrical measure of the distance between those horizons and investigate it for the case of the Vaidya spacetime. We show that it is…

General Relativity and Quantum Cosmology · Physics 2011-02-02 Ivan Booth , Jonathan Martin

Spacetime singularities in numerical relativity can be avoided by excising a region of the computational domain from inside the apparent horizon. We report on results of such a scheme that is based on using ({\it i}) a horizon locking…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Anninos , Greg Daues , Joan Masso , Edward Seidel , Wai-Mo Suen

It is known that the event horizon of a black hole can often be identified from the zeroes of some curvature invariants. The situation in lower dimensions has not been thoroughly clarified. In this work we investigate both (2+1)- and…

General Relativity and Quantum Cosmology · Physics 2019-11-19 Daniele Gregoris , Yen Chin Ong , Bin Wang

We present an introduction to dynamical trapping horizons as quasi-local models for black hole horizons, from the perspective of an Initial Value Problem approach to the construction of generic black hole spacetimes. We focus on the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 José Luis Jaramillo

The event horizon of Schwarzschild black hole is obtained in noncommutative spaces up to the second order of perturbative calculations. Because this type of black hole is non-rotating, to the first order there is no any effect on the event…

High Energy Physics - Theory · Physics 2009-11-11 Forough Nasseri

The impressive images from the Event Horizon Telescope sharpen the conflict between our observations of gravitational phenomena and the principles of quantum mechanics. Two related scenarios for reconciling quantum mechanics with the…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Steven B. Giddings

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

We examine the structure of the event horizon for numerical simulations of two black holes that begin in a quasicircular orbit, inspiral, and finally merge. We find that the spatial cross section of the merged event horizon has spherical…

General Relativity and Quantum Cosmology · Physics 2012-12-04 Michael I. Cohen , Jeffrey D. Kaplan , Mark A. Scheel

A generic black hole merger occurs through a restructuring of creases (sharp edges) on the event horizon. This process is studied for a black hole merger in the limit of infinite mass ratio, for which constructing the event horizon reduces…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Maxime Gadioux , Robie A. Hennigar , Harvey S. Reall

We explore the possibility that spacetime horizons in 4D general relativity can be treated as manifestations of higher dimensions that induce fields on our 4D spacetime. In this paper we discuss the black hole event horizon, as an example…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Manasse R. Mbonye

This work addresses and solves the problem of generically tracking black hole event horizons in computational simulation of black hole interactions. Solutions of the hyperbolic eikonal equation, solved on a curved spacetime manifold…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Scott A. Caveny , Matthew Anderson , Richard A. Matzner

The Event Horizon Telescope is a millimeter VLBI array that aims to take the first pictures of the black holes in the center of the Milky Way and of the M87 galaxy, with horizon scale resolution. Measurements of the shape and size of the…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Dimitrios Psaltis

We present an overview of recent developments in numerical relativity studies of higher dimensional spacetimes with a focus on time evolutions of black-hole systems. After a brief review of the numerical techniques employed for these…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ulrich Sperhake