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Related papers: Aretakis Charges and Asymptotic Null Infinity

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We reexamine the relation between the Aretakis charge of an extremal black hole spacetime and the Newman-Penrose charge of a weakly asymptotically flat spacetime obtained from the original one through radial inversion and conformal mapping.…

High Energy Physics - Theory · Physics 2019-01-02 Mirjam Cvetic , Alejandro Satz

Motivated by the study of conserved Aretakis charges for a scalar field on the horizon of an extremal black hole, we construct the metrics for certain classes of four-dimensional and five-dimensional extremal rotating black holes in…

High Energy Physics - Theory · Physics 2020-04-01 M. Cvetic , C. N. Pope , A. Saha , A. Satz

Every spacetime that is asymptotically flat near null infinity can be conformally mapped via a spatial inversion onto the geometry around an extremal, non-rotating and non-expanding horizon. We set up a dictionary for this geometric…

High Energy Physics - Theory · Physics 2026-02-24 Shreyansh Agrawal , Panagiotis Charalambous , Laura Donnay

We consider Kerr-Newman-AdS-dS black holes near extremality and work out the near-horizon geometry of these near-extremal black holes. We identify the exact U(1)_L x U(1)_R isometries of the near-horizon geometry and provide boundary…

High Energy Physics - Theory · Physics 2011-08-03 Jorgen Rasmussen

We derive precise late-time asymptotics for solutions to the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes including as special cases the Schwarzschild and Reissner-Nordstrom families of black holes.…

Analysis of PDEs · Mathematics 2018-02-16 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

Continuous sequences of asymptotically flat solutions to the Einstein-Maxwell equations describing regular equilibrium configurations of ordinary matter can reach a black hole limit. For a distant observer, the spacetime becomes more and…

General Relativity and Quantum Cosmology · Physics 2015-02-12 Reinhard Meinel , Martin Breithaupt , Yu-Chun Liu

We numerically analyze the behavior of a charged scalar field on a fixed extremal Reissner-Nordstr\"om background. We find an extension of the Aretakis instability characterized by an accumulation of charge on the extremal event horizon. In…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Zachary Gelles , Frans Pretorius

In this paper, we prove precise late-time asymptotics for solutions to the wave equation supported on angular frequencies greater or equal to $\ell$ on the domain of outer communications of subextremal Reissner-Nordstr\"om spacetimes up to…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

We derive exact, asymptotically flat black hole solutions of Einstein-scalar gravity sourced by a non trivial scalar field with $1/r$ asymptotic behaviour. They are determined using an ansatz for the scalar field profile and working out,…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Mariano Cadoni , Edgardo Franzin

We present a first-principles derivation of the main results of the Kerr/CFT correspondence and its extensions using only tools from gravity and quantum field theory. Firstly, we review properties of extremal black holes with in particular…

High Energy Physics - Theory · Physics 2016-12-09 Geoffrey Compère

An asymptotically flat spacetime in $D=4$ can be mapped via Couch-Torrence conformal inversion to the geometry around an extremal non-expanding and non-rotating horizon. At the linearized level, an infinite tower of conserved Newman-Penrose…

High Energy Physics - Theory · Physics 2026-05-01 Mohammad Akhond , Massimo Bianchi , Antonio Cristofaro , Fabio Riccioni

We study charged black hole solutions in Einstein-Maxwell-Gauss-Bonnet theory with the dilaton field which is the low-energy effective theory of the heterotic string. The spacetime is $D$-dimensional and assumed to be static and plane…

High Energy Physics - Theory · Physics 2015-06-16 Nobuyoshi Ohta , Takashi Torii

We present a conformal isometry for static extremal black hole solutions in all four-dimensional Einstein-Maxwell-scalar theories with electromagnetic duality groups `of type $E_7$'. This includes, but is not limited to, all supergravity…

General Relativity and Quantum Cosmology · Physics 2018-12-27 L. Borsten , M. J. Duff , A. Marrani

We construct a time-symmetric asymptotically flat initial data set to the Einstein-Maxwell Equations which satisfies the inequality: m - 1/2(R + Q^2/R) < 0, where m is the total mass, R=sqrt(A/4) is the area radius of the outermost horizon…

Differential Geometry · Mathematics 2009-11-10 Gilbert Weinstein , Sumio Yamada

The symmetry algebra of asymptotically flat spacetimes at null infinity in four dimensions in the sense of Newman and Unti is revisited. As in the Bondi-Metzner-Sachs gauge, it is shown to be isomorphic to the direct sum of the abelian…

General Relativity and Quantum Cosmology · Physics 2013-01-24 Glenn Barnich , Pierre-Henry Lambert

We use the duality between gravitational dynamics and fluids living on dynamical surfaces carrying multiple charges, known as the blackfold approach, to perturbativaly construct new asymptotically global (Anti)-de Sitter multi-spinning,…

High Energy Physics - Theory · Physics 2024-12-04 Jay Armas , Gianbattista-Piero Nicosia

We investigate the quasinormal modes of the Reissner$-$Nordstr\"om anti$-$de Sitter black hole using the Penrose limit, motivated by the geometrical optics approximation. This approach offers a novel framework for approximating quasinormal…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Shubham Kala , Anik Rudra , Hemwati Nandan

We investigate the stability of highly charged Reissner-Nordstr\"om black holes to charged scalar perturbations. We show that the near-horizon region exhibits a transient instability which becomes the Aretakis instability in the extremal…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Peter Zimmerman

The Penrose-Gibbons inequality for charged black holes is proved in spherical symmetry, assuming that outside the black hole there are no current sources, meaning that the charge e is constant, with the remaining fields satisfying the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Sean A. Hayward

Exploiting the correspondence between Kerr-Newman-(A)dS black hole solutions in general relativity and their constant-curvature counterparts in $f(R)$ gravity, we employ a unified framework to investigate the horizon structure and extremal…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Alikram N. Aliev
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