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The theory of isolated horizon provides a quasi-local framework to study the spacetime geometry in the neighbourhood of the horizon of a black hole in equilibrium without any reference to structures far away from the horizon. While the…

General Relativity and Quantum Cosmology · Physics 2018-09-14 Jerzy Lewandowski , Carmen Li

We consider the inverse problem of determining all extreme black hole solutions to the Einstein equations with a prescribed near-horizon geometry. We investigate this problem by considering infinitesimal deformations of the near-horizon…

General Relativity and Quantum Cosmology · Physics 2016-03-22 Carmen Li , James Lucietti

The near horizon geometries are usually constructed by implementing a specific limit to a given extreme black hole configuration. Their salient feature is that the isometry group includes the conformal subgroup SO(2,1). In this work, we…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Anton Galajinsky , Kirill Orekhov

We show that any extreme black hole with an orthogonally transitive abelian isometry group has a near-horizon geometry with enhanced symmetry. We also point out a simple proof of the horizon topology theorem of Galloway and Schoen for…

General Relativity and Quantum Cosmology · Physics 2012-11-02 James Lucietti

We construct a family of non-supersymmetric extremal black holes and their horizonless microstate geometries in four dimensions. The black holes can have finite angular momentum and an arbitrary charge-to-mass ratio, unlike their…

High Energy Physics - Theory · Physics 2021-10-20 Ibrahima Bah , Iosif Bena , Pierre Heidmann , Yixuan Li , Daniel R. Mayerson

We study the CFT dual to five dimensional extremal rotating black holes, by investigating the two dimensional perspective of their near horizon geometry. From two dimensional point of view, we show that both gauge fields, related to the two…

High Energy Physics - Theory · Physics 2014-04-01 Hesam Soltanpanahi

We use the recipe of arXiv:1003.2974 to find half-BPS near-horizon geometries in the t$^3$ model of $N=2$, $D=4$ gauged supergravity, and explicitely construct some new examples. Among these are black holes with noncompact horizons, but…

High Energy Physics - Theory · Physics 2021-10-04 Federico Faedo , Silke Klemm , Adriano Viganò

We show that the near horizon of a generic non-extremal black hole (BH) can be understood in terms of a Carrollian geometry with two null directions, also called a String-Carroll (SC) geometry. The base space of this fibre-bundle structure…

High Energy Physics - Theory · Physics 2026-02-25 Arjun Bagchi , Arkachur Bhattacharya , Sharang Rajesh Iyer , K. Narayan

We study hidden symmetries, the symmetries associated with the Killing tensors, of the near horizon geometry of odd-dimensional Kerr-AdS-NUT black hole in two limits: generic extremal and extremal vanishing horizon (EVH) limits. Starting…

High Energy Physics - Theory · Physics 2018-10-19 Saeedeh Sadeghian

We investigate the symmetries of the near horizon geometry of extremal stationary black holes in four dimensional Einstein gravity coupled to abelian gauge fields and neutral scalars. Careful consideration of the equations of motion and the…

High Energy Physics - Theory · Physics 2008-11-26 Dumitru Astefanesei , Hossein Yavartanoo

Here we present a novel classical model to describe the near-inner horizon geometry of a rotating, accreting black hole. The model assumes spacetime is homogeneous and is sourced by radial streams of a collisionless, null fluid, and it…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Tyler McMaken , Andrew J. S. Hamilton

Ongoing astronomical efforts extract physical properties of black holes from electromagnetic emissions in their near-vicinity. This requires finding the null geodesics which extend from the near-horizon region out to a distant observatory.…

General Relativity and Quantum Cosmology · Physics 2017-03-09 Achilleas P. Porfyriadis , Yichen Shi , Andrew Strominger

We show that extremal Kerr black holes are sensitive probes of new physics. Stringy or quantum corrections to general relativity are expected to generate higher-curvature terms in the gravitational action. We show that in the presence of…

High Energy Physics - Theory · Physics 2024-07-11 Gary T. Horowitz , Maciej Kolanowski , Grant N. Remmen , Jorge E. Santos

Thanks to the recent advent of the event horizon telescope (EHT), we now have the opportunity to test the physical ramifications of the strong-field near-horizon regime for astrophysical black holes. Herein, emphasizing the trade-off…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Joshua Baines , Matt Visser

The spin angular momentum $S$ of an isolated Kerr black hole is bounded by the surface area $A$ of its apparent horizon: $8\pi S \le A$, with equality for extremal black holes. In this paper, we explore the extremality of individual and…

Geometrical properties of the extreme Kerr black holes in the topological sectors of nonextreme and extreme configurations are studied. We find that the Euler characteristic plays an essential role to distinguish these two kinds of extreme…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bin Wang , Ru-Keng Su , P. K. N. Yu

Recently it was shown by Castro, Maloney and Strominger (CMS) that 4D Kerr black holes have a "hidden" conformal symmetry. Using some old results of Cvetic and Larsen, I show that this result is very likely to hold also for the most general…

High Energy Physics - Theory · Physics 2014-11-20 Chethan Krishnan

The near horizon geometry of general black holes in equilibrium can be conveniently characterized in the formalism of weakly isolated horizons in the form of the Bondi-like expansions (Krishnan B, Class.\ Quantum Grav.\ 29, 205006, 2012).…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Martin Scholtz , Aleš Flandera , Norman Gürlebeck

We describe recent numerical simulations of the merger of a class of equal mass, non-spinning, eccentric binary black hole systems in general relativity. We show that with appropriate fine-tuning of the initial conditions to a region of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Frans Pretorius , Deepak Khurana

The Kerr geometry is believed to represent the exterior spacetime of astrophysical black holes. We here re-analyze the geometry of Kerr-like metrics (Kerr, Kerr-Newman, Kerr-de Sitter, and Kerr-anti de Sitter), paying particular attention…

General Relativity and Quantum Cosmology · Physics 2020-05-29 Piotr T. Chruściel , Maciej Maliborski , Nicolás Yunes