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In this contribution, we summarize our results concerning the observational constraints on the electric charge associated with the Galactic centre black hole - Sgr A*. According to the no-hair theorem, every astrophysical black hole,…

We consider weakly non-linear gravitational perturbations of a near-extremal Kerr black hole governed by the second order vacuum Einstein equation. Using the GHZ formalism [Green et al., Class. Quant. Grav. 7(7):075001, 2020], these are…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Claudio Iuliano , Stefan Hollands , Stephen R. Green , Peter Zimmerman

It has been shown that ultraenergetic collisions can occur near the horizon of an extremal Kerr black hole. Previous studies mainly focused on geodesic motions of particles. In this paper, we consider spinning test particles whose orbits…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Minyong Guo , Sijie Gao

We prove the existence of instabilities for the geometric linear wave equation on extremal Kerr spacetime backgrounds, which describe stationary black holes rotating at their maximally allowed angular velocity. These instabilities can be…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Dejan Gajic

In this paper, we deal with the null geodesics extending from the near-horizon region out to a distant observatory in an extremal Kerr-Newman black hole background. In particular, using the matched asymptotic expansion method, we…

General Relativity and Quantum Cosmology · Physics 2017-03-02 Shao-Wen Wei , Bao-Min Gu , Yong-Qiang Wang , Yu-Xiao Liu

The Event Horizon Telescope (EHT) has produced images of two supermassive black holes, Messier~87* (M 87*) and Sagittarius~A* (Sgr A*). The EHT collaboration used these images to indirectly constrain black hole parameters by calibrating…

High Energy Astrophysical Phenomena · Physics 2022-11-30 Daniel C. M Palumbo , Zachary Gelles , Paul Tiede , Dominic O. Chang , Dominic W. Pesce , Andrew Chael , Michael D. Johnson

We construct a relation between the Aretakis charge of any extreme black hole and the Newman-Penrose charge. This is achieved by constructing a conformal correspondence between extreme black holes and what we call weakly asymptotically flat…

High Energy Physics - Theory · Physics 2017-11-01 Hadi Godazgar , Mahdi Godazgar , C. N. Pope

We exhibit exact analytic, fully explicit, photon escape cones and related silhouettes ("shadows") at arbitrary distance from the extremal Kerr black hole. In contrast to the situation for non-extremal Kerr, where one typically has to…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Joshua Baines , Matt Visser

By deriving and solving the gravitational and electromagnetic field equations in $f(R,T)$ gravity coupled with nonlinear electrodynamics, we obtain a static spherically symmetric charged solution that incorporates higher-order correction…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Tianyou Ren , Zhenglong Ban , Yaobin Hua , Rong-Jia Yang

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

We formulate the variational problem for AdS gravity with Dirichlet boundary conditions and demonstrate that the covariant counterterms are necessary to make the variational problem well-posed. The holographic charges associated with…

High Energy Physics - Theory · Physics 2009-11-11 Ioannis Papadimitriou , Kostas Skenderis

We construct a new set of boundary conditions for higher spin gravity, inspired by a recent "soft Heisenberg hair"-proposal for General Relativity on three-dimensional Anti-de Sitter. The asymptotic symmetry algebra consists of a set of…

High Energy Physics - Theory · Physics 2016-10-25 Daniel Grumiller , Alfredo Perez , Stefan Prohazka , David Tempo , Ricardo Troncoso

In this paper we treat the black hole horizon as a physical boundary to the spacetime and study its dynamics following from the Gibbons-Hawking-York boundary term. Using the Kerr black hole as an example we derive an effective action that…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Jianwei Mei

We explore the consistent truncation of conserved charges in Quadratic Curvature Gravity (QCG) with anti-de Sitter asymptotics to the linear order in the Weyl tensor. The QCG action is given by the most general curvature-squared corrections…

High Energy Physics - Theory · Physics 2023-08-29 Olivera Miskovic , Rodrigo Olea , Eleftherios Papantonopoulos , Yoel Parra-Cisterna

Boundary charges in gauge theories (like the ADM mass in general relativity) can be understood as integrals of linear conserved n-2 forms of the free theory obtained by linearization around the background. These forms are associated…

High Energy Physics - Theory · Physics 2009-11-10 Glenn Barnich

We investigate the conjectured bound on the Lyapunov exponent for a charged particle with angular motion in the Kerr-Newman-AdS black hole. The Lyapunov exponent is calculated based on the effective Lagrangian. We show that the negative…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Bogeun Gwak , Naoto Kan , Bum-Hoon Lee , Hocheol Lee

We show that it is possible to explain the physical origin of jet precession in active galactic nuclei (AGNs) through the misalignment between the rotation axes of the accretion disk and of the Kerr black hole. We apply this scenario to…

Astrophysics · Physics 2011-05-24 Anderson Caproni , Herman J. Mosquera Cuesta , Zulema Abraham

We propose Lobachevsky boundary conditions that lead to asymptotically H^2xR solutions. As an example we check their consistency in conformal Chern-Simons gravity. The canonical charges are quadratic in the fields, but nonetheless…

High Energy Physics - Theory · Physics 2013-06-18 Mario Bertin , Sabine Ertl , Hossein Ghorbani , Daniel Grumiller , Niklas Johansson , Dmitri Vassilevich

We perform a long-duration Bayesian analysis of gravitational-wave data to constrain the near-horizon geometry of black holes formed in binary mergers. Deviations from the Kerr geometry are parameterized by replacing the horizon's absorbing…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Ikram Hamoudy , Julian Westerweck , Ofek Birnholtz

We prove an intrinsic analogue of Hawking's rigidity theorem for extremal horizons in arbitrary dimensions: any compact cross-section of a rotating extremal horizon in a spacetime satisfying the null energy condition must admit a Killing…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Alex Colling