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In this paper, we prove the codimension-one nonlinear asymptotic stability of the extremal Reissner-Nordstr\"om family of black holes in the spherically symmetric Einstein-Maxwell-neutral scalar field model, up to and including the event…

广义相对论与量子宇宙学 · 物理学 2026-01-16 Yannis Angelopoulos , Christoph Kehle , Ryan Unger

We study the nonlinear stability of the Cauchy horizon in the interior of extremal Reissner-Nordstr\"om black holes under spherical symmetry. We consider the Einstein-Maxwell-Klein-Gordon system such that the charge of the scalar field is…

广义相对论与量子宇宙学 · 物理学 2019-05-15 Dejan Gajic , Jonathan Luk

In this letter, we present a novel exact scalar quasibound states solutions in the extremal Reissner-Norstr\"om black hole background. We start with the construction of the governing covariant relativistic scalar field equation, the…

广义相对论与量子宇宙学 · 物理学 2025-01-06 David Senjaya , Supakchai Ponglertsakul

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…

高能物理 - 理论 · 物理学 2026-01-26 Achilleas P. Porfyriadis , Christopher Rosen , Georgios Tsaraktsidis

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…

广义相对论与量子宇宙学 · 物理学 2014-12-30 Mihalis Dafermos

We study 5-dimensional black holes in Einstein-Maxwell-Chern-Simons theory with free Chern-Simons coupling parameter. We consider an event horizon with spherical topology, and both angular momenta of equal magnitude. In particular, we study…

广义相对论与量子宇宙学 · 物理学 2017-09-11 Jose Luis Blazquez-Salcedo

We solve numerically equations of motion for real self-interacting scalar fields in the background of Reissner-Nordstrom black hole and obtained a sequence of static axisymmetric solutions representing thick domain walls charged black hole…

广义相对论与量子宇宙学 · 物理学 2009-11-10 R. Moderski , M. Rogatko

We show non-linear stability and instability results in spherical symmetry for the interior of a charged black hole -approaching a sub-extremal Reissner-Nordstr\"om background fast enough at infinity- in presence of a massive and charged…

广义相对论与量子宇宙学 · 物理学 2018-03-14 Maxime Van de Moortel

We study the threshold of gravitational collapse in spherically symmetric spacetimes governed by the Einstein-Maxwell-Vlasov equations. We numerically construct solutions describing a collapsing distribution of charged matter that either…

广义相对论与量子宇宙学 · 物理学 2026-04-14 William E. East

We study spherically symmetric solutions of semilinear wave equations in the case where the nonlinearity satisfies the null condition on extremal Reissner--Nordstrom black hole spacetimes. We show that solutions which arise from…

偏微分方程分析 · 数学 2014-08-21 Yannis Angelopoulos

We consider the quasinormal spectrum of scalar and axial perturbations of the Reissner-Nordstr\"om-AdS black hole as the horizon approaches extremality. By considering a foliation of the black hole by spacelike surfaces which intersect the…

广义相对论与量子宇宙学 · 物理学 2024-04-04 Filip Ficek , Claude Warnick

In this work, we derive rigorous and universal bounds on the geometric characteristics of black holes in asymptotically flat spacetimes under assumptions that weak energy condition is satisfied. We prove that the event horizon radius, the…

广义相对论与量子宇宙学 · 物理学 2026-03-03 Vitalii Vertogradov

We numerically construct asymptotically extremal black holes through the nonlinear evolution of a charged scalar field. Our procedure -- which extends the work of Murata-Reall-Tanahashi to include charged scalar dynamics -- involves the…

广义相对论与量子宇宙学 · 物理学 2026-02-13 Zachary Gelles , Frans Pretorius

We present the first rigorous study of nonlinear wave equations on extremal black hole spacetimes without any symmetry assumptions on the solution. Specifically, we prove global existence with asymptotic blow-up for solutions to nonlinear…

偏微分方程分析 · 数学 2021-02-25 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

In a recent paper (hep-th/0111091), the near-extremal thermodynamics of a 4-dimensional Reissner-Nordstrom black hole had been considered. In the current letter, we extend this prior treatment to the more general case of a spherically…

高能物理 - 理论 · 物理学 2007-05-23 A. J. M. Medved

Rotating black holes in Einstein-Maxwell-Chern-Simons theory possess remarkable features, when the Chern-Simons coupling constant reaches a critical value. Representing single asymptotically flat black holes with horizons of spherical…

广义相对论与量子宇宙学 · 物理学 2015-08-26 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

In this paper, we prove that extremal black holes arise on the threshold of gravitational collapse. More precisely, we construct smooth one-parameter families of smooth, spherically symmetric solutions to the Einstein-Maxwell-Vlasov system…

广义相对论与量子宇宙学 · 物理学 2024-02-16 Christoph Kehle , Ryan Unger

With the question, ``Can relativistic charged spheres form extremal black holes?" in mind, we investigate the properties of such spheres from a classical point of view. The investigation is carried out numerically by integrating the…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Peter Anninos , Tony Rothman

We study physical properties and global structures of a time-dependent, spherically symmetric solution obtained via the dimensional reduction of intersecting M-branes. We find that the spacetime describes a maximally charged black hole…

高能物理 - 理论 · 物理学 2010-04-06 Kei-ichi Maeda , Masato Nozawa

Einstein-Maxwell-scalar models allow for different classes of black hole solutions, depending on the non-minimal coupling function $f(\phi)$ employed, between the scalar field and the Maxwell invariant. Here, we address the linear mode…

广义相对论与量子宇宙学 · 物理学 2021-03-17 Jose Luis Blázquez-Salcedo , Carlos A. R. Herdeiro , Sarah Kahlen , Jutta Kunz , Alexandre M. Pombo , Eugen Radu
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