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This paper contains the second part of a two-part series on the stability and instability of extreme Reissner-Nordstrom spacetimes for linear scalar perturbations. We continue our study of solutions to the linear wave equation on a suitable…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Stefanos Aretakis

The Reissner-Nordstrom black hole in four dimensions can be made unstable without violating the dominant energy condition by introducing a real massive scalar with non-renormalizable interactions with the gauge field. New stable black hole…

High Energy Physics - Theory · Physics 2009-11-11 Steven S. Gubser

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 show that the general charged, rotating black hole in five-dimensional Einstein-Maxwell theory has a singular extremal limit. Only the known analytic solutions with exactly zero charge or zero angular momenta have smooth extremal…

High Energy Physics - Theory · Physics 2024-12-11 Gary T. Horowitz , Jorge E. Santos

Circular null geodesic orbits, in extremal Reissner-Nordstrom spacetimes, are examined with regard to their stability, and compared with similar orbits in the near-extremal situation. Extremization of the effective potential for null…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Parthapratim Pradhan , Parthasarathi Majumdar

We consider the linearized perturbations of near-horizon extremal Reissner-Nordstr\"om black holes in $d$-dimensional Einstein-Maxwell-Gauss-Bonnet gravity and seven-dimensional third-order Lovelock gravity. We find the solutions for the…

High Energy Physics - Theory · Physics 2025-08-22 Robert J. Saskowski

We have studied scalar, electromagnetic and gravitational perturbations of the four-dimensional Reissner-Nordstr\"{o}m-like black holes with a \textit{tidal charge} in the Randall-Sundrum braneworld. The quasinormal modes of these scalar,…

General Relativity and Quantum Cosmology · Physics 2016-06-08 Bobir Toshmatov , Zdeněk Stuchlík , Jan Schee , Bobomurat Ahmedov

We study the properties of anti--de Sitter black holes with a Gauss-Bonnet term for various horizon topologies (k=0, \pm 1) and for various dimensions, with emphasis on the less well understood k=-1 solution. We find that the zero…

High Energy Physics - Theory · Physics 2009-11-10 Ishwaree P. Neupane

A $2p + 5$ parametric family of black holes is constructed in dilaton--axion gravity with $p$ vector fields using a holomorphic representation of U--duality in three dimensions. The metric of the non--extremal black holes has a…

General Relativity and Quantum Cosmology · Physics 2008-02-03 D. V. Gal'tsov , P. S. Letelier

Anti-de Sitter (AdS) is conjectured to be nonlinear unstable to a weakly turbulent mechanism that develops a cascade towards high frequencies, leading to black hole formation [1,2]. We give evidence that the gravitational sector of…

High Energy Physics - Theory · Physics 2016-11-15 Oscar J. C. Dias , Jorge E. Santos

We examine particle production from spherical bodies collapsing into extremal Reissner-Nordstr\"om black holes. Kruskal coordinates become ill-defined in the extremal case, but we are able to find a simple generalization of them that is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Liberati , T. Rothman , S. Sonego

Aretakis has proved that a massless scalar field has an instability at the horizon of an extreme Reissner-Nordstr\"om black hole. We show that a similar instability occurs also for a massive scalar field and for coupled linearized…

General Relativity and Quantum Cosmology · Physics 2015-06-12 James Lucietti , Keiju Murata , Harvey S. Reall , Norihiro Tanahashi

The superradiant stability of asymptotically flat D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation is analytically studied. Recently, an analytical method has been proposed by the author and…

General Relativity and Quantum Cosmology · Physics 2022-05-24 Jia-Hui Huang

We improve upon the results presented in [R. Casadio, et al., Phys. Rev. D 105 (2022) 124026] deriving a quantum-corrected Reissner-Nordstr\"om geometry containing an integrable singularity at its center while being devoid of spurious…

General Relativity and Quantum Cosmology · Physics 2025-11-06 Tommaso Antonelli , Marco Sebastianutti , Andrea Giusti

In this paper, we give a complete description of the black hole threshold, locally near the Reissner-Nordstr\"om family, in the infinite-dimensional moduli space $\mathfrak M$ of dynamical spherically symmetric solutions to the…

General Relativity and Quantum Cosmology · Physics 2026-03-12 Yannis Angelopoulos , Christoph Kehle , Ryan Unger

We study scalar, electromagnetic and gravitational perturbations of a Reissner-Nordstr\"om-anti-de Sitter (RN-AdS) spacetime, and compute its quasinormal modes (QNM's). We confirm and extend results previously found for…

General Relativity and Quantum Cosmology · Physics 2011-05-05 E. Berti , K. D. Kokkotas

Using black-hole inequalities and the increase of the horizon's areas, we show that there are arbitrarily small electro-vacuum perturbations of the standard initial data of the extreme Reissner-Nordstrom black-hole that, (by contradiction),…

General Relativity and Quantum Cosmology · Physics 2013-11-14 Martin Reiris

We study the decay of a near-extremal black hole in AdS$_2$, related to the near-horizon region of 3+1-dimensional Reissner-Nordstr\"om spacetime, following Fabbri, Navarro, and Navarro-Salas. Back-reaction is included in a semiclassical…

High Energy Physics - Theory · Physics 2014-11-18 Kamran Diba , David A. Lowe

Maxwell's equations are invariant under both duality rotations and conformal transformations. Recently Bandos, Lechner, Sorokin, and Townsend have found a nonlinear generalisation of electrodynamics which possesses both of these symmetries.…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Daniel Flores-Alfonso , Blanca Angélica González-Morales , Román Linares , Marco Maceda

We analyze the thermodynamic response near extremality of black holes with angular momentum in (3+1)-dimensional de Sitter and Anti-de Sitter spacetimes. While Kerr-AdS$_4$ is characterized by a single extremal limit, for Kerr-dS$_4$ there…

High Energy Physics - Theory · Physics 2025-05-06 Francesca Mariani , Chiara Toldo