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It is shown that for small, spherically symmetric perturbations of asymptotically flat two-ended Reissner-Nordstr\"om data for the Einstein-Maxwell-real scalar field system, the boundary of the dynamic spacetime which evolves is globally…

General Relativity and Quantum Cosmology · Physics 2014-12-30 Mihalis Dafermos

Motivated by the Kerr/CFT conjecture, we explore solutions of vacuum general relativity whose asymptotic behavior agrees with that of the extremal Kerr throat, sometimes called the Near-Horizon Extreme Kerr (NHEK) geometry. We argue that…

High Energy Physics - Theory · Physics 2009-09-28 Aaron J. Amsel , Gary T. Horowitz , Donald Marolf , Matthew M. Roberts

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 analyze the origin of separability for rotating black holes in string theory, considering both massless and massive geodesic equations as well as the corresponding wave equations. We construct a conformal Killing-Stackel tensor for a…

High Energy Physics - Theory · Physics 2015-06-05 Finn Larsen , Cynthia Keeler

We investigate the geometry near the horizon of a generic, four-dimensional extremal black hole. When the cosmological constant is negative, we show that (in almost all cases) tidal forces diverge as one crosses the horizon, and this…

High Energy Physics - Theory · Physics 2023-02-15 Gary T. Horowitz , Maciej Kolanowski , Jorge E. Santos

Extremal scalar three-point correlators in the near-NHEK geometry of Kerr black holes have recently been shown to agree with the result expected from a holographically dual non-chiral two-dimensional conformal field theory. In this paper we…

High Energy Physics - Theory · Physics 2011-03-28 Melanie Becker , Sera Cremonini , Waldemar Schulgin

It is shown that the Kerr-Newman solution, representing charged and rotating stationary black holes, admits analytic extension at the singularity. This extension is obtained by using new coordinates, in which the metric tensor becomes…

General Relativity and Quantum Cosmology · Physics 2017-01-31 Ovidiu-Cristinel Stoica

Kerr/CFT correspondence has been recently applied to various types of 5D extremal rotating black holes. A common feature of all such examples is the existence of two chiral CFT duals corresponding to the U(1) symmetries of the near horizon…

High Energy Physics - Theory · Physics 2009-07-24 F. Loran , H. Soltanpanahi

Linear perturbations of extremal black holes exhibit the Aretakis instability, in which higher derivatives of a scalar field grow polynomially with time along the event horizon. This suggests that higher derivative corrections to the…

High Energy Physics - Theory · Physics 2018-01-17 Shahar Hadar , Harvey S. Reall

For locally rotationally symmetric (LRS) spacetimes, we construct two equivalent forms of the Komar current derived from a conformal Killing vector. One is a kinematic construction and the other is in terms of the matter quantities on the…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Abbas M. Sherif

We prove that (possibly charged) test fields satisfying the null energy condition at the event horizon cannot overspin/overcharge extremal Kerr-Newman or Kerr-Newman-anti de Sitter black holes, that is, the weak cosmic censorship conjecture…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Jose Natario , Leonel Queimada , Rodrigo Vicente

The conjectured magnetized Kerr/CFT correspondence states that the quantum theory of gravity in the near horizon of extreme Kerr black holes immersed by the magnetic field, Near Horizon Extreme Magnetized Kerr black holes, is holographic…

High Energy Physics - Theory · Physics 2016-12-05 Muhammad F A R Sakti , Philin Y D Sagita , A Suroso , Freddy P Zen

A new, exact and analytical class of accelerating and charged black holes is built, in the Einstein-Maxwell theory, thanks to the Harrison transformation. The diagonal metric does not belong to the Petrov type D classification, therefore it…

General Relativity and Quantum Cosmology · Physics 2023-12-14 Marco Astorino

We study various mathematical aspects of the charged rotating black hole with two equal-magnitude angular momenta in five dimensions. We introduce a coordinate system that is regular on the horizon and in which Einstein-Maxwell equations…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Markus B. Fröb , Igor Khavkine , Tomáš Málek , Vojtěch Pravda

Recently, Banados, Silk and West analyzed a collision of two particles near the horizon of the extremal Kerr black hole and demonstrated that the energy in the center-of-mass frame can be arbitrarily large provided the angular momentum of…

General Relativity and Quantum Cosmology · Physics 2013-07-30 Anton Galajinsky

We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS_2/CFT_1 correspondence. We find a Virasoro algebra with central charge c_R=12J that is independent from the Virasoro algebra (with the…

High Energy Physics - Theory · Physics 2009-12-17 Alejandra Castro , Finn Larsen

We obtain rotating black hole solutions to the Einstein-Maxwell equations with the cosmological constant. There are eight parameters in the solutions. They are the physical mass $M$, the electric charge $Q$, the specific angular momentum…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Changjun Gao

Generalizing Riemannian theorems of Anderson-Herzlich and Biquard, we show that two $(n+1)$-dimensional stationary vacuum space-times (possibly with cosmological constant $\Lambda \in \R$) that coincide up to order one along a timelike…

Differential Geometry · Mathematics 2011-05-25 Piotr T. Chrusciel , Erwann Delay

We study charged particle motion in weakly charged higher dimensional black holes. To describe the electromagnetic field we use a test field approximation and use the higher dimensional Kerr-NUT-(A)dS metric as a background geometry. It is…

High Energy Physics - Theory · Physics 2011-02-03 Valeri P. Frolov , Pavel Krtous

We construct odd-dimensional extremal charged black hole solutions with a twisted S^1 as an extra dimension on generalized Euclidean Taub-NUT spaces. There exists a null hypersurface where an expansion for an outgoing null geodesic…

High Energy Physics - Theory · Physics 2012-02-16 Takamitsu Tatsuoka , Hideki Ishihara , Masashi Kimura , Ken Matsuno