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Near the horizon, the obvious symmetries of a black hole spacetime---the horizon-preserving diffeomorphisms---are enhanced to a larger symmetry group with a BMS${}_3$ algebra. Using dimensional reduction and covariant phase space…

General Relativity and Quantum Cosmology · Physics 2018-03-14 S. Carlip

The dynamics of apparent and event horizons of various black hole spacetimes, including those containing distorted, rotating and colliding black holes, are studied. We have developed a powerful and efficient new method for locating the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Peter Anninos , David Bernstein , Steven Brandt , Joseph Libson , Joan Masso , Edward Seidel , Larry Smarr , Wai-Mo Suen , Paul Walker

We consider the general construction of near-horizon limit for extremal black hole solutions with non-trivial torsion, and derive the covariant geometric conditions for the existence this limit. A near-horizon solution with torsion is…

General Relativity and Quantum Cosmology · Physics 2025-11-20 B. Cvetković , D. Rakonjac

We consider a class of black holes for which the area of the two-dimensional spatial cross-section has a minimum on the horizon with respect to a quasiglobal (Krusckal-like) coordinate. If the horizon is regular, one can generate a tubelike…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Oleg B. Zaslavskii

The event horizon of a black hole is arguably the most dramatic manifestation of the fact that in General Relativity, causal structure is dynamical and spacetimes can be separated into distinct regions by causal boundaries. Causal set…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Astrid Eichhorn , Pedro Gamito , Nawder Stokes

The geometry of a two-dimensional surface in a curved space can be most easily visualized by using an isometric embedding in flat three-dimensional space. Here we present a new method for embedding surfaces with spherical topology in flat…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mihai Bondarescu , Miguel Alcubierre , Edward Seidel

We study the differentiability of the metric and other fields at any of the horizons of multi center Reissner-Nordstrom black hole solutions in $d \ge 5$ and of multi center $M2$ brane solutions. The centers are distributed in a plane in…

High Energy Physics - Theory · Physics 2014-01-22 Chethan N. Gowdigere , Abhass Kumar , Himanshu Raj , Yogesh K. Srivastava

We investigate the validity of the hyperhoop conjecture, which claims to determine a necessary and sufficient condition for the formation of black hole horizons in higher-dimensional space-times. Here we consider momentarily static,…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Tomohiro Kurata , Hirotaka Nakayama , Takahiro Okamoto

In spherical symmetry, the total energy-momentum tensor near the apparent horizon is identified up to a single function of time from two assumptions: a trapped region forms at a finite time of a distant observer, and values of two curvature…

General Relativity and Quantum Cosmology · Physics 2019-12-12 Daniel Terno

This paper presents a quasi-local method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Erik Schnetter , Badri Krishnan , Florian Beyer

The correspondence of stationary, axisymmetric, asymptotically flat space-times and bundles over a reduced twistor space has been established in four dimensions. The main impediment for an application of this correspondence to examples in…

General Relativity and Quantum Cosmology · Physics 2012-07-03 Norman Metzner

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

For a stationary and axisymmetric black hole, there is a natural way to split the fields into a probe sector and a background sector. The equations of motion for the probe sector enjoy a significantly enhanced symmetry on the black hole…

High Energy Physics - Theory · Physics 2014-04-23 Jianwei Mei

We develop a fully numerical framework to compute and visualize the \emph{hypershadow}\cite{Novo:2024wyn}, the three-dimensional generalization of the black hole shadow in five-dimensional spacetimes. Our method is based on backward ray…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Jianzhi Yang

We present exact dynamical and inhomogeneous solutions in three-dimensional AdS gravity with a conformally coupled scalar field. They contain stealth configurations of the scalar field overflying the BTZ spacetime and also solutions with a…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Luis Avilés , Hideki Maeda , Cristian Martinez

In previous work we have developed a model-independent, effective description of quantum deformed, spherically symmetric and static black holes in four dimensions. The deformations of the metric are captured by two functions of the physical…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

Three postulates asserting the validity of conventional quantum theory, semi-classical general relativity and the statistical basis for thermodynamics are introduced as a foundation for the study of black hole evolution. We explain how…

High Energy Physics - Theory · Physics 2009-10-07 L. Susskind , L. Thorlacius , J. Uglum

We investigate higher dimensional Robinson-Trautman spacetimes with an electromagnetic field aligned with the hypersurface orthogonal, non-shearing, expanding geodesic null congruence. After integrating the system of Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marcello Ortaggio , Jiri Podolsky , Martin Zofka

We determine the asymptotic symmetry group of Killing horizons by choosing Gaussian null coordinates in the neighbourhood of the horizon and boundary conditions that respect the leading order terms in the metric. The analysis divides…

High Energy Physics - Theory · Physics 2017-11-22 Emil T. Akhmedov , Mahdi Godazgar

Black hole entropy appears to be ``universal''--many independent calculations, involving models with very different microscopic degrees of freedom, all yield the same density of states. I discuss the proposal that this universality comes…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip