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The event horizon of the Schwarzschild black hole has been well studied and the singular behavior of the Schwarzschild metric on horizon is understood as a coordinate singularity rather than an essential singularity. One demonstration of…

General Relativity and Quantum Cosmology · Physics 2025-12-15 A. T. Eberlein , C. N. Pope

We numerically study a formation of near extremal horizons from a gravitational collapse of radially symmetric gravitational waves in $4+1$ dimensions within the framework of pure Einstein gravity with positive cosmological constant.…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Maciej Dunajski , Sebastian J. Szybka

We review the role that infinite-dimensional symmetries arising at the boundary of asymptotically flat spacetimes play in the context of the celestial holography program. Once recast into the language of conformal field theory, asymptotic…

High Energy Physics - Theory · Physics 2023-10-20 Laura Donnay

Any spacetime containing a degenerate Killing horizon, such as an extremal black hole, possesses a well-defined notion of a near-horizon geometry. We review such near-horizon geometry solutions in a variety of dimensions and theories in a…

High Energy Physics - Theory · Physics 2015-06-16 Hari K. Kunduri , James Lucietti

We describe in this article a new code for evolving axisymmetric isolated systems in general relativity. Such systems are described by asymptotically flat space-times which have the property that they admit a conformal extension. We are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. Frauendiener , Matthias Hein

We construct, in even spacetime dimensions, a family of singularity-free Kerr-Anti-de Sitter-like black holes with negatively curved cross-sections of conformal infinity and non-spherical cross-sections of horizons.

General Relativity and Quantum Cosmology · Physics 2026-01-28 Piotr T. Chruściel , Wan Cong , Finnian Gray

We investigate the validity of Thorne's hoop conjecture in non-axisymmetric spacetimes by examining the formation of apparent horizons numerically. If spaces have a discrete symmetry about one axis, we can specify the boundary conditions to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Takeshi Chiba

This paper is concerned with the structural stability of spherical horizons. By this we mean stability with respect to variations of the second member of the corresponding differential equations, corresponding to the inclusion of the…

High Energy Physics - Theory · Physics 2021-10-27 Enrique Alvarez , Jesus Anero , Raquel Santos-Garcia

A consistent set of asymptotic conditions for higher spin gravity in three dimensions is proposed in the case of vanishing cosmological constant. The asymptotic symmetries are found to be spanned by a higher spin extension of the BMS3…

High Energy Physics - Theory · Physics 2013-09-09 Hernan A. Gonzalez , Javier Matulich , Miguel Pino , Ricardo Troncoso

We solve Einstein vacuum equations in a spacetime region up to the "center" of gravitational collapse. Within this region, we construct a sequence of marginally outer trapped surfaces (MOTS) with areas going to zero. These MOTS form a…

General Relativity and Quantum Cosmology · Physics 2020-10-26 Xinliang An

In this paper, we combine and generalize to higher dimensions the approaches to proving the uniqueness of connected (3+1)-dimensional static vacuum asymptotically flat black hole spacetimes by M\"uller zum Hagen--Robinson--Seifert and by…

Differential Geometry · Mathematics 2024-12-03 Carla Cederbaum , Albachiara Cogo , Benedito Leandro , João Paulo dos Santos

Certain aspects of three dimensional asymptotically de Sitter spaces are studied, with emphasis on the mapping between gravity observables and the representation of the conformal symmetry of the boundary. In particular, we show that…

High Energy Physics - Theory · Physics 2009-11-07 Bruno Carneiro da Cunha

We systematically investigate axisymmetric extremal isolated horizons (EIHs) defined by vanishing surface gravity, corresponding to zero temperature. In the first part, using the Newman-Penrose and GHP formalism we derive the most general…

General Relativity and Quantum Cosmology · Physics 2021-08-06 David Matejov , Jiri Podolsky

We have a new observation that near horizon symmetry generators, corresponding to diffeomorphisms which leave the horizon structure invariant, satisfy noncommutative Heisenberg algebra. The results are valid for any null surfaces (which has…

General Relativity and Quantum Cosmology · Physics 2017-02-23 Bibhas Ranjan Majhi

It is often stated that a phase of standard, decelerated cosmological expansion is characterised by the absence of global event horizons, while a phase of accelerated expansion is associated with the absence of particle horizons. This is…

General Relativity and Quantum Cosmology · Physics 2026-05-14 M. Gasperini

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 study non-degenerate and degenerate (extremal) Killing horizons of arbitrary geometry and topology within the Einstein-Maxwell-dilaton model with a Liouville potential (the EMdL model) in d-dimensional (d>=4) static space-times. Using…

High Energy Physics - Theory · Physics 2011-05-19 Shohreh Abdolrahimi , Andrey A. Shoom

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

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

Through gravitational decoupling using the extended minimal geometric deformation, a new family of static and rotating ``hairy'' black holes is provided. The background of these models is a generic Schwarzschild metric containing as special…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Pablo Leon , B. Mishra , Y. Gomez-Leyton , Francisco Tello-Ortiz
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