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Apparent horizon plays an important role in numerical relativity as it provides a tool to characterize the existence and properties of black holes on three-dimensional spatial slices in 3+1 numerical spacetimes. Apparent horizon finders…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Hon-Ka Hui , Lap-Ming Lin

We present a new approach for setting initial Cauchy data for multiple black hole spacetimes. The method is based upon adopting an initially Kerr-Schild form of the metric. In the case of non-spinning holes, the constraint equations take a…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Nigel T. Bishop , Richard Isaacson , Manoj Maharaj , Jeffrey Winicour

Since black holes can be formed through widely varying processes, the horizon structure is highly complicated in the dynamical phase. Nonetheless, as numerical simulations show, the final state appears to be universal, well described by the…

General Relativity and Quantum Cosmology · Physics 2013-09-30 Abhay Ashtekar , Miguel Campiglia , Samir Shah

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

We investigate black holes with toroidal horizons in (d +1)-dimensional space-time. Using the solution phase space method, we calculated conserved charges for these black holes before exploring some features of this metric including its…

General Relativity and Quantum Cosmology · Physics 2017-11-09 Elham Sharifian , Behrouz Mirza , Zahra Mirzaiyan

Black holes, as classical solutions of General Relativity, are expected to exhibit quantum properties near their horizons. In this paper, we examine the behavior of quantum particles near the Schwarzschild horizon by solving the…

General Physics · Physics 2025-10-07 Merab Gogberashvili , Tinatin Tsiskaridze

Local condition that imply the no-hair property of black holes are completed. The conditions take the form of constraints on the geometry of the 2-dimensional crossover surface of black hole horizon. They imply also the axial symmetry…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Jerzy Lewandowski , Adam Szereszewski

We consider the quantization of the complete extension of the Schwarzschild space-time using spherically symmetric loop quantum gravity. We find an exact solution corresponding to the semi-classical theory. The singularity is eliminated but…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rodolfo Gambini , Jorge Pullin

The images of supermassive black holes surrounded by optically-thin, radiatively-inefficient accretion flows, like those observed with the Event Horizon Telescope, are characterized by a bright ring of emission surrounding the black-hole…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Ziri Younsi , Dimitrios Psaltis , Feryal Özel

In this paper we calculate modifications to the Schwarzschild solution by using a semiclassical analysis of loop quantum black hole. We obtain a metric inside the event horizon that coincides with the Schwarzschild solution near the horizon…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Leonardo Modesto

We study the capabilities of present and future radio very-long-baseline-interferometry arrays to distinguish black holes from horizonless spacetimes. We consider an example of a horizonless spacetime, obtained by overspinning a regular…

High Energy Astrophysical Phenomena · Physics 2023-06-28 Astrid Eichhorn , Roman Gold , Aaron Held

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

Rendering images of black holes by utilizing ray tracing techniques is a common methodology employed in many aspects of scientific and astrophysical visualizations. Similarly, general ray tracing techniques are widely used in areas related…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-23 Liam Naddell , Marcelo Ponce

The Kerr-Newman metric is the unique vacuum solution of the General Relativistic field equations, in which any singularities or spacetime pathologies are hidden behind horizons. They are believed to describe the spacetimes of massive…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Dimitrios Psaltis

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

We introduce horizon pretracking as a method for analysing numerically generated spacetimes of merging black holes. Pretracking consists of following certain modified constant expansion surfaces during a simulation before a common apparent…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Erik Schnetter , Frank Herrmann , Denis Pollney

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

We discuss properties of a 4-dimensional Schwarzschild black hole in a spacetime where one of the spatial dimensions is compactified. As a result of the compactification the event horizon of the black hole is distorted. We use Weyl…

High Energy Physics - Theory · Physics 2009-11-10 Andrei V. Frolov , Valeri P. Frolov

We obtain a new exact solution of the 5D Einstein equations in vacuum describing a distorted Myers-Perry black hole with a single angular momentum. Locally, the solution is interpreted as a black hole distorted by a stationary $U(1)\times…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Shohreh Abdolrahimi , Jutta Kunz , Petya Nedkova

We characterize a general solution to the vacuum Einstein equations which admits isolated horizons. We show it is a non-linear superposition -- in precise sense -- of the Schwarzschild metric with a certain free data set propagating…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Jerzy Lewandowski
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