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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 consider universal properties that arise from a local geometric structure of a Killing horizon. We first introduce a non-perturbative definition of such a local geometric structure, which we call an asymptotic Killing horizon. It is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jun-ichirou Koga

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…

The gravitational field around an astrophysical black hole (BH) is thought to be described by the Kerr spacetime, which is a solution of the Einstein equation. Signatures of binary black hole (BBH) coalescence in gravitational waves (GW)…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Debtroy Das , Swarnim Shashank , Cosimo Bambi

We propose a new parametrization for testing the Kerr nature of astrophysical black hole candidates. The common approaches focus on the attempt to constrain possible deviations from the Kerr solution described by new terms in the metric.…

General Relativity and Quantum Cosmology · Physics 2016-05-31 M. Ghasemi-Nodehi , Cosimo Bambi

We present a new infinite class of near-horizon geometries of degenerate horizons, satisfying Einstein's equations for all odd dimensions greater than five. The symmetry and topology of these solutions is compatible with those of black…

High Energy Physics - Theory · Physics 2014-11-20 Hari K. Kunduri , James Lucietti

We study fixed points of isometries of the higher-dimensional Kerr-NUT-(A)dS spacetimes that form generalizations of symmetry axes. It turns out that, in the presence of nonzero NUT charges, some parts of the symmetry axes are necessarily…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Ivan Kolar , Pavel Krtous

We present a new geometrical approach to the study of accretion flows onto rotating (Kerr) black holes. Instead of Boyer-Lindquist coordinates, the standard choice in all existing numerical simulations in the literature, we employ the…

Astrophysics · Physics 2009-10-30 Jose A. Font , Jose M. Ibanez , Philippos Papadopoulos

We construct asymptotically flat, spinning, regular on and outside an event horizon, scalarised black holes (SBHs) in extended scalar-tensor-Gauss-Bonnet models. They reduce to Kerr BHs when the scalar field vanishes. For an illustrative…

General Relativity and Quantum Cosmology · Physics 2019-07-10 Pedro V. P. Cunha , Carlos A. R. Herdeiro , Eugen Radu

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

Black hole spacetimes contain several geometrically distinguished hypersurfaces, including event and Cauchy horizons, stationary-limit surfaces, curvature singularities, and asymptotic infinity. These structures are usually identified by…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Cagdas Ulus Agca , Bayram Tekin

In this paper, we study the existence of universal horizons in a given static spacetime, and find that the test khronon field can be solved explicitly when its velocity becomes infinitely large, at which point the universal horizon…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Kai Lin , O. Goldoni , M. F. da Silva , Anzhong Wang

Perturbations of the Kerr black hole are notoriously difficult to describe in the metric formalism and are usually studied in terms of perturbations of the Weyl scalars. In this work, we focus on the algebraically special linear…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Jibril Ben Achour , Clara Montagnon , Hugo Roussille

I review elements of the foundations of black-hole theory with attention to problematic issues, and describe some techniques which either seem to help with the difficulties or at least investigate their scope. The definition of black holes…

General Relativity and Quantum Cosmology · Physics 2011-05-11 Adam D. Helfer

This is the first in a series of two papers to establish the mass-angular momentum inequality for multiple black holes. We study singular harmonic maps from domains of 3-dimensional Euclidean space to the hyperbolic plane having bounded…

Differential Geometry · Mathematics 2024-09-02 Qing Han , Marcus Khuri , Gilbert Weinstein , Jingang Xiong

This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chrusciel

Models of black hole properties play an important role in the ongoing direct detection of gravitational waves from black hole binaries. One important aspect of model based gravitational wave detection, and subsequent estimation of source…

General Relativity and Quantum Cosmology · Physics 2019-11-21 L. London , E. Fauchon-Jones

We present a detailed study of higher-order photon rings of an accreting Kerr naked singularity (KNS) with dimensionless spin parameter $a=1.01$; i.e., a horizonless, overly spinning compact object. Motivated by horizon-scale…

High Energy Astrophysical Phenomena · Physics 2025-11-27 Hina Suzuki , Yosuke Mizuno , Akhil Uniyal , Indu Kalpa Dihingia , Tintin Nguyen , Chi-kwan Chan

The iron K$\alpha$ line commonly observed in the X-ray spectrum of both stellar-mass and supermassive black hole candidates is produced by the illumination of a cold accretion disk by a hot corona. In this framework, the activation of a new…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Jiachen Jiang , Cosimo Bambi , James F. Steiner

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