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We consider the spherically symmetric, asymptotically flat, non-vacuum Einstein equations, using as matter model a collisionless gas as described by the Vlasov equation. We find explicit conditions on the initial data which guarantee the…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Hakan Andreasson , Gerhard Rein

We illustrate that regular black holes and horizonless stars, typically considered as quite distinct families of black hole mimickers, are intimately intertwined. We show that any spherically symmetric regular black hole can be continuously…

General Relativity and Quantum Cosmology · Physics 2022-11-14 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

This thesis addresses some classical and semi-classical aspects of black holes using an effective membrane representation of the event horizon. The classical "membrane paradigm" equations are derived from an underlying action formulation,…

High Energy Physics - Theory · Physics 2007-05-23 Maulik K. Parikh

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories as well,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Carlip

Event horizons are the defining physical features of black hole spacetimes, and are of considerable interest in studying black hole dynamics. Here, we reconsider three techniques to localise event horizons in numerical spacetimes:…

General Relativity and Quantum Cosmology · Physics 2009-02-15 Michael I. Cohen , Harald P. Pfeiffer , 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

Misner initial data are a standard example of time-symmetric initial data with two apparent horizons. Compact formulae describing such data are presented in the cases of equal or non-equal masses (i.e. isometric or non-isometric horizons).…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Szymon Leski

Using the techniques of isolated horizon formalism, we construct the space of solutions of asymptotically flat extremal black holes in N=2 pure supergravity in 4 dimensions. We prove the laws of black hole mechanics. Further, restricting to…

General Relativity and Quantum Cosmology · Physics 2009-12-03 Ayan Chatterjee

We present a simple, general, and accurate construction of the event horizons for the fusion of two neutral, rotating black holes with arbitrary orientation and values of their spins, in the extreme mass ratio limit where one black hole is…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Roberto Emparan , Marina Martinez , Miguel Zilhao

In this paper, we consider $(n+1)$-dimensional topological dilaton de Sitter black holes with power-Maxwell field as thermodynamic systems. The thermodynamic quantities corresponding to the black hole horizon and the cosmological horizon…

High Energy Physics - Theory · Physics 2021-05-26 Hui-Hua Zhao , Li-Chun Zhang , Ying Gao , Fang Liu

The requirement that a trapped spacetime domain forms in finite time for distant observers is logically possible and sometimes unavoidable, but its consequences are not yet fully understood. In spherical symmetry, the characterization of…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Daniel R. Terno

Event horizons are (generically) not physically observable. In contrast, apparent horizons (and the closely related trapping horizons) are generically physically observable --- in the sense that they can be detected by observers working in…

General Relativity and Quantum Cosmology · Physics 2014-12-10 Matt Visser

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

In spherical symmetry compelling numerical evidence suggests that in general relativity solutions near the threshold of black hole formation exhibit critical behavior. One aspect of this is that threshold solutions themselves are…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Isabel Suárez Fernández , Rodrigo Vicente , David Hilditch

The trapping (or apparent) horizon serves as a key tool for tracing the complete evolution of black holes. We investigate a class of coordinate singularities induced by such trapping (or apparent) horizons in a spherically symmetric,…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Jinbo Yang , Hongwei Tan , Hyat Huang , Wen-Cong Gan

We consider spherically symmetric spacetimes with an outer trapping horizon. Such spacetimes are generalizations of spherically symmetric black hole spacetimes where the central mass can vary with time, like in black hole collapse or black…

General Relativity and Quantum Cosmology · Physics 2021-08-17 Fiona Kurpicz , Nicola Pinamonti , Rainer Verch

Hawking's black hole information puzzle highlights the incompatibility between our present understanding of gravity and quantum physics. However, Hawking's prediction of black-hole evaporation is at a semiclassical level. One therefore…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shahar Hod

We devise a new approach for the analysis of issues of geometric pathologies and black holes of a spacetime, based on a new mass function defined on an ideal un-physical spacetime which models time-flow or time dilation. The mass function…

Analysis of PDEs · Mathematics 2022-04-27 Jean Baptiste Patenou

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

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories, I show…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip