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We consider smooth electrovac spacetimes which represent either (A) an asymptotically flat, stationary black hole or (B) a cosmological spacetime with a compact Cauchy horizon ruled by closed null geodesics. The black hole event horizon or,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Helmut Friedrich , Istvan Racz , Robert M. Wald

We discuss some of the drawbacks of using event horizons to define black holes. The reasons are both practical, physical and theoretical. We argue that locally defined trapping horizons can remedy many of these drawbacks. We examine of the…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Alex B. Nielsen

Regular black holes have become a popular alternative to the singular mathematical black holes predicted by general relativity as they circumvent mathematical pathologies associated with the singularity while preserving crucial black hole…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Ioannis Soranidis

It is known that the extremal Reissner-Nordstr\"om black hole possesses a discrete conformal isometry that exchanges the black hole horizon with infinity. It is also known that the Reissner-Nordstr\"om-de Sitter spacetime posseses a similar…

General Relativity and Quantum Cosmology · Physics 2012-09-18 Helgi Freyr Rúnarsson

Classical black holes and event horizons are highly non-local objects, defined in terms of the causal past of future null infinity. Alternative, (quasi)local definitions are often used in mathematical, quantum, and numerical relativity.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ivan Booth , Stephen Fairhurst

The near horizon aspects (and beyond) of a black hole metric, which belongs to a large class of static spherically symmetric black holes, are considered here. It has been realized recently that an atom falling into a black hole leads to the…

General Relativity and Quantum Cosmology · Physics 2022-07-11 Soham Sen , Rituparna Mandal , Sunandan Gangopadhyay

Regular (non-singular) space-times are given which describe the formation of a (locally defined) black hole from an initial vacuum region, its quiescence as a static region, and its subsequent evaporation to a vacuum region. The static…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sean A. Hayward

Nonsingular black holes have received much attention in recent years as they provide an opportunity to avoid the singularities inherent to the mathematical black holes predicted by general relativity. Based on the assumption that…

General Relativity and Quantum Cosmology · Physics 2023-12-07 Sebastian Murk , Ioannis Soranidis

We study the thermodynamics of de Sitter black holes with a conformally coupled scalar field. The geometry is that of the ``lukewarm'' Reissner-Nordstrom-de Sitter black holes, with the event and cosmological horizons at the same…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Anne-Marie Barlow , Daniel Doherty , Elizabeth Winstanley

A three dimensional black hole solution of Einstein equations with negative cosmological constant coupled to a conformal scalar field is given. The solution is static, circularly symmetric, asymptotically anti-de Sitter and nonperturbative…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Cristian Martinez , Jorge Zanelli

Black holes are often characterized by event horizons, following the literature that laid the mathematical foundations of the subject in the 1970s. However black hole event horizons have two fundamental conceptual limitations. First, they…

General Relativity and Quantum Cosmology · Physics 2023-08-21 Abhay Ashtekar

In this chapter we present a status report of black hole-like solutions in non-local theories of gravity in which the Lagrangians are at least quadratic in curvature and contain specific non-polynomial (i.e., non-local) operators. In the…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Luca Buoninfante , Breno L. Giacchini , Tibério de Paula Netto

It is well-known that the thermal Hawking-like radiation can be emitted from the acoustic horizon, but the thermodynamic-like understanding for acoustic black holes was rarely made. In this paper, we will show that the kinematic connection…

High Energy Physics - Theory · Physics 2016-08-08 Baocheng Zhang

We analyze the near-horizon symmetries of static, axisymmetric, four-dimensional black holes with spherical and toroidal horizon topologies in vacuum general relativity. These black hole solutions, collectively referred to as…

General Relativity and Quantum Cosmology · Physics 2025-09-23 M. M. Akbar , S. M. Modumudi

Initial data corresponding to spacetimes containing black holes are considered in the time symmetric case. The solutions are obtained by matching across the apparent horizon different, conformally flat, spatial metrics. The exterior metric…

General Relativity and Quantum Cosmology · Physics 2009-10-30 A. Arbona , C. Bona , J. Carot , L. Mas , J. Masso , J. Stela

We have developed a powerful and efficient method for locating the event horizon of a black hole spacetime, making possible the study of the dynamics of event horizons in numerical relativity. We describe the method and apply it to a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Anninos , David Bernstein , Steven Brandt , Joan Masso , Edward Seidel , Larry Smarr , Wai-Mo Suen , Paul Walker

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

Hawking's local rigidity theorem, proven in the smooth setting by Alexakis-Ionescu-Klainerman, says that the event horizon of any stationary non-extremal black hole is a non-degenerate Killing horizon. In this paper, we prove that the full…

Differential Geometry · Mathematics 2024-09-20 Klaus Kroencke , Oliver Petersen

We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the…

General Relativity and Quantum Cosmology · Physics 2023-09-01 H. V. Ovcharenko , O. B. Zaslavskii

We investigate the complete family of (aligned) Robinson-Trautman spacetimes sourced by conformally invariant non-linear electrodynamics in $D$ dimensions in the presence of an arbitrary cosmological constant. After presenting general…

General Relativity and Quantum Cosmology · Physics 2021-12-24 David Kokoška , Marcello Ortaggio