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In our previous work [N. G\"urlebeck, M. Scholtz, Phys. Rev. D 95 064010 (2017)], we have shown that electric and magnetic fields are expelled from the horizons of extremal, stationary and axially symmetric uncharged black holes; this is…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Norman Gürlebeck , Martin Scholtz

It was pointed out by Couch and Torrence that the extreme Reissner-Nordstrom solution possesses a discrete conformal isometry. Using results of Romans, it is shown that such a symmetry also exists when a non-zero cosmological constant is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Johan Brännlund

Using a recently developed effective field theory formalism for extreme mass ratios [2308.14832], we present a calculation of charged black hole scattering at third post-Minkowskian order. The charges and masses are kept arbitrary, and the…

High Energy Physics - Theory · Physics 2024-06-03 Jordan Wilson-Gerow

The cross sections of black holes with tidal charge predicted in the context of the Randall--Sundrum brane-world scenario are computed considering the massless scalar field. Results obtained for black holes with different tidal-charge…

General Relativity and Quantum Cosmology · Physics 2018-11-06 Ednilton S. de Oliveira

The conformally invariant scalar equation permits the Robin boundary condition at infinity of asymptotically-AdS spacetimes. We show how the dynamics of conformal cubic scalar field on the Reissner-Nordstr\"{o}m-anti-de Sitter background…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Filip Ficek , Maciej Maliborski

We show that linear scalar waves are bounded and continuous up to the Cauchy horizon of Reissner-Nordstr\"om-de Sitter and Kerr-de Sitter spacetimes, and in fact decay exponentially fast to a constant along the Cauchy horizon. We obtain our…

Analysis of PDEs · Mathematics 2020-05-28 Peter Hintz , Andras Vasy

It is proved that dynamically formed Reissner-Nordstr\"om-de Sitter (RNdS) black holes, which have recently been claimed to provide counter-examples to the Penrose strong cosmic censorship conjecture, are characterized by unstable…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Shahar Hod

We study the decay of Dirac and massive scalar fields at asymptotically late times in the background of the charged asymptotically de Sitter dilatonic black holes. It is shown that the asymptotic decay is exponential and oscillatory for…

General Relativity and Quantum Cosmology · Physics 2025-01-03 Alexey Dubinsky , Antonina Zinhailo

We point out that in general the Reissner-Nordstr\"om (RN) charged black holes of general relativity are not solutions of the four dimensional quadratic gravitational theories. They are, e.g., exact solutions of the $R+R^2$ quadratic theory…

General Relativity and Quantum Cosmology · Physics 2009-10-22 A. Economou , C. O. Lousto

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

We derive for the first time the form of the spiral null geodesics around the photon sphere of the Reissner-Nordstrom black hole in the de Sitter expanding universe. Moreover, we obtain the principal parameter we need for deriving,…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Ion I. Cotaescu

Rotating maximal black holes in four-dimensional de Sitter space, for which the outer event horizon coincides with the cosmological horizon, have an infinite near-horizon region described by the rotating Nariai metric. We show that the…

High Energy Physics - Theory · Physics 2015-05-14 Dionysios Anninos , Thomas Hartman

We investigate the strong cosmic censorship for the Dirac field in the higher dimensional Reissner-Norstrom--de Sitter black hole. To achieve this, we first use the conformal transformation trick to massage the Dirac equation to a pair of…

High Energy Physics - Theory · Physics 2019-10-21 Xiaoyi Liu , Stijn Van Vooren , Hongbao Zhang , Zhen Zhong

Using an algebraic condition of vanishing discriminant for multiple roots of fourth degree polynomials we derive an analytical expression of a shadow size as a function of a charge in the Reissner -- Nordstr\"om (RN) metric…

General Relativity and Quantum Cosmology · Physics 2021-08-06 Alexander F. Zakharov

Motivated by the existence of black holes with various topologies in four-dimensional spacetimes with a negative cosmological constant, we study axisymmetric static solutions describing any large distortions of Schwarzschild-anti-de Sitter…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. Tomimatsu

The differential cross section for scattering of a Dirac particle in a black hole background is found. The result is the gravitational analog of the Mott formula for scattering in a Coulomb background. The equivalence principle is neatly…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Chris Doran , Anthony Lasenby

It has long been suggested that solutions to linear scalar wave equation $$\Box_g\phi=0$$ on a fixed subextremal Reissner-Nordstr\"om spacetime with non-vanishing charge are generically singular at the Cauchy horizon. We prove that generic…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Jonathan Luk , Sung-Jin Oh

We derive mass-independent equations and inequalities for Kerr-Newman-anti-de Sitter black holes. In particular, we obtain an equation that relates electric charge, angular momentum and the areas of the event and Cauchy horizons. An…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Jörg Hennig

This is the second part of a series of papers deriving the precise, late-time behaviour and (in)stability properties of charged scalar fields on near-extremal Reissner--Nordstr\"om spacetimes via energy estimates. In this paper, we use…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Dejan Gajic

Wave propagations in the presence of black holes is a significant problem both in theoretical and observational aspects, especially after the discovery of gravitational wave and confirmation of black holes. We study the scattering of…

General Relativity and Quantum Cosmology · Physics 2021-03-02 Yang Huang , Hongsheng Zhang
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