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Related papers: The wave equation on the extreme Reissner-Nordstr\…

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In this article, we study the superradiance of charged scalar fields on the sub-extremal Reissner-Nordstrom metric, a mechanism by which such fields can extract energy from a static spherically symmetric charged black hole. A geometrical…

Mathematical Physics · Physics 2015-08-06 Laurent Di Menza , Jean-Philippe Nicolas

We study gravitational perturbations on the near-horizon region of extremal and near-extremal rotating black holes in a general higher-derivative extension of Einstein gravity. We find a decoupled modified Teukolsky equation that rules the…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Pablo A. Cano , Marina David

Let G(x) be a C^0 function such that |G(x)|\le K|x|^{p} for |x|\le c, for constants K,c>0. We consider spherically symmetric solutions of \Box_g\phi=G(\phi) where g is a Schwarzschild or more generally a Reissner-Nordstrom metric, and such…

Analysis of PDEs · Mathematics 2011-10-13 Mihalis Dafermos , Igor Rodnianski

We derive causality constraints on the simplest scalar-tensor theories in which black holes differ from what General Relativity predicts, a scalar coupled to the Gauss-Bonnet or the Chern-Simons terms. Demanding that time advances are…

High Energy Physics - Theory · Physics 2022-09-07 Francesco Serra , Javi Serra , Enrico Trincherini , Leonardo G. Trombetta

We give an explicit closed form description of the late-time near-horizon approach to dynamical extreme Reissner-Nordstrom (DERN) black holes. These are spherically symmetric dynamical solutions of Einstein-Maxwell theory coupled to a…

High Energy Physics - Theory · Physics 2026-01-26 Achilleas P. Porfyriadis , Christopher Rosen , Georgios Tsaraktsidis

We develop a definitive physical-space scattering theory for the scalar wave equation on Kerr exterior backgrounds in the general subextremal case |a|<M. In particular, we prove results corresponding to "existence and uniqueness of…

General Relativity and Quantum Cosmology · Physics 2018-06-28 Mihalis Dafermos , Igor Rodnianski , Yakov Shlapentokh-Rothman

The formation of near-extremal Reissner-Nordstrom black holes in the S-wave approximation can be described, near the event horizon, by an effective solvable model. The corresponding one-loop quantum theory remains solvable and allows to…

High Energy Physics - Theory · Physics 2009-10-31 Alessandro Fabbri , Diego J. Navarro , Jose Navarro-Salas

Through gravitational decoupling using the extended minimal geometric deformation, a new family of static and rotating ``hairy'' black holes is provided. The background of these models is a generic Schwarzschild metric containing as special…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Pablo Leon , B. Mishra , Y. Gomez-Leyton , Francisco Tello-Ortiz

In a recent letter, we presented numerical relativity simulations, solving the full Einstein--Maxwell--Klein-Gordon equations, of superradiantly unstable Reissner-Nordstr\"om black holes (BHs), enclosed in a cavity. Low frequency, spherical…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Nicolas Sanchis-Gual , Juan Carlos Degollado , Carlos Herdeiro , José A. Font , Pedro J. Montero

The Regge-Wheeler equation for black-hole gravitational waves is analyzed for large negative imaginary frequencies, leading to a calculation of the cut strength for waves outgoing to infinity. In the--limited--region of overlap, the results…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alec Maassen van den Brink

We study the near-horizon AdS_2\timesS^2 geometry of evaporating near-extremal Reissner-Nordstrom black holes interacting with null matter. The non-local (boundary) terms t_{\pm}, coming from the effective theory corrected with the quantum…

High Energy Physics - Theory · Physics 2009-10-31 A. Fabbri , D. J. Navarro , J. Navarro-Salas

We revisit the superradiant stability of Kerr-Newman black holes under a charged massive scalar perturbation. We obtain a newly suitable potential which is not singular at the outer horizon when a radial equation is expressed the…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Yun Soo Myung

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 investigate the interior of a dynamical black hole as described by the Einstein-Maxwell-charged-Klein-Gordon system of equations with a cosmological constant, under spherical symmetry. In particular, we consider a characteristic initial…

General Relativity and Quantum Cosmology · Physics 2025-02-20 Flavio Rossetti

By inspecting some known solutions to Einstein equations, we present the metric of higher dimensional Reissner-Nordstr$\ddot{o}$m black hole in the background of Friedman-Robertson-Walker universe. Then we verify the solution with a perfect…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Chang Jun Gao , Shuang Nan Zhang

Recently, a new noncommutative geometry inspired solution of the coupled Einstein-Maxwell field equations including black holes in 4-dimension is found. In this paper, we generalize some aspects of this model to the Reissner-Nordstr\"om…

High Energy Physics - Theory · Physics 2010-04-22 Kourosh Nozari , S. Hamid Mehdipour

We study scattering solutions $\phi$ of the linear wave equation on extremal Reissner-Nordstr\"{o}m spacetimes, satisfying the following properties: i) $\phi$ attains a prescribed radiation field $\psi_{\mathcal{I}}$ through future null…

Analysis of PDEs · Mathematics 2026-02-17 Yannis Angelopoulos , Istvan Kadar

We investigate the behaviour of a non-commutative radiating Reissner-Nordstrom(Re-No)black hole. We find some interesting results : a). the existence of a minimal non-zero mass to which the black hole can shrink. b). a finite maximum…

General Relativity and Quantum Cosmology · Physics 2010-03-25 S. A. Alavi

We study black hole radiation of a Reissner-Nordstrom black hole with an electric charge in the framework of quantum gravity. Based on a canonical quantization for a spherically symmetric geometry, under physically plausible assumptions, we…

High Energy Physics - Theory · Physics 2015-03-19 Ichiro Oda

We consider smooth electrovac spacetimes which represent either (A) an asymptotically flat, stationary black hole or (B) a cosmological spacetime with a compact Cauchy horizon ruled by closed null geodesics. The black hole event horizon or,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Helmut Friedrich , Istvan Racz , Robert M. Wald