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In this paper we prove the non-linear asymptotic stability of the five-dimensional Schwarzschild metric under biaxial vacuum perturbations. This is the statement that the evolution of (SU(2) x U(1))-symmetric vacuum perturbations of initial…

广义相对论与量子宇宙学 · 物理学 2008-08-26 G. Holzegel

Black holes with resonant hair are static, spherical, electrically charged solutions of the Einstein-Maxwell-(gauged-)scalar system. Scalar self-interactions are mandatory for their existence. Initial dynamical studies restricted to…

广义相对论与量子宇宙学 · 物理学 2026-04-27 José Ferreira , Carlos A. R. Herdeiro , Eugen Radu , Miguel Zilhão

We consider $d\geqslant 4$ Einstein--(extended-)Yang-Mills theory, where the gauge sector is augmented by higher order terms. Linearizing the (extended) Yang-Mills equations on the background of the electric Reissner-Nordstr\"om (RN) black…

广义相对论与量子宇宙学 · 物理学 2017-06-21 Carlos Herdeiro , Vanush Paturyan , Eugen Radu , D. H. Tchrakian

We study the 5-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically "quasi-Minkowski", "quasi anti-de…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Naoya Okuyama , Kei-ichi Maeda

We show that, independently of the scalar field potential and of specific asymptotic properties of the spacetime (asymptotically flat, de Sitter or anti-de Sitter), any static, spherically symmetric or planar, black hole or soliton solution…

广义相对论与量子宇宙学 · 物理学 2015-09-22 Andres Anabalon , Jiří Bičák , Joel Saavedra

We construct a new class of asymptotically flat black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are static, and they have a regular event horizon. However, they possess only…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Burkhard Kleihaus , Jutta Kunz

A continuum of monopole, dyon and black hole solutions exist in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. Their structure is studied in detail. The solutions are classified by non-Abelian electric and magnetic…

高能物理 - 理论 · 物理学 2008-11-26 J. Bjoraker , Y. Hosotani

We discuss the new class of static axially symmetric black hole solutions obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are asymptotically flat and they possess a regular event…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Burkhard Kleihaus , Jutta Kunz

We analyze the dynamical stability of black hole solutions in self-gravitating nonlinear electrodynamics with respect to arbitrary linear fluctuations of the metric and the electromagnetic field. In particular, we derive simple conditions…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Claudia Moreno , Olivier Sarbach

Black hole solutions with nonspherical event horizon topology are shown to exist in an Einstein-Yang-Mills theory with negative cosmological constant. The main characteristics of the solutions are presented and differences with respect to…

广义相对论与量子宇宙学 · 物理学 2009-11-07 J. J. van der Bij , Eugen Radu

We review the properties of static, higher dimensional black hole solutions in theories where non-abelian gauge fields are minimally coupled to gravity. It is shown that black holes with hyperspherically symmetric horizon topology do not…

广义相对论与量子宇宙学 · 物理学 2009-07-24 Betti Hartmann

Charged black holes are known to suffer from an interior instability associated with the presence of the Cauchy horizon. Recently, a hairy charged black hole was proposed that avoids the formation of a Cauchy horizon. It is natural to…

广义相对论与量子宇宙学 · 物理学 2025-09-08 Radouane Gannouji , Alejandro Guzmán Antonucci

We investigate the existence of black hole and soliton solutions to four dimensional, anti-de Sitter (adS), Einstein-Yang-Mills theories with general semisimple connected and simply connected gauge groups, concentrating on the so-called…

广义相对论与量子宇宙学 · 物理学 2018-12-14 J. Erik Baxter

In this paper, we prove that the 5-dimensional Schwarzschild-Tangherlini solution of the Einstein vacuum equations is orbitally stable (in the fully non-linear theory) with respect to vacuum perturbations of initial data preserving triaxial…

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

Quadratic scale-invariant gravity non minimally coupled to a scalar field provides a competitive model for inflation, characterized by the transition from an unstable to a stable fixed point, both characterized by constant scalar field…

广义相对论与量子宇宙学 · 物理学 2023-01-27 Simon Boudet , Massimiliano Rinaldi , Samuele Marco Silveravalle

We study the axial perturbations of spontaneously scalarized black holes in Einstein-Gauss-Bonnet (EGB) theories. We consider the nodeless solutions of the fundamental branch of the model studied in [1], which possesses a region of radially…

广义相对论与量子宇宙学 · 物理学 2020-05-13 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Sarah Kahlen , Jutta Kunz , Petya Nedkova , Stoytcho S. Yazadjiev

The known static electro-vacuum black holes in a globally AdS$_4$ background have an event horizon which is geometrically a round sphere. In this work we argue that the situation is different in models with matter fields possessing an…

广义相对论与量子宇宙学 · 物理学 2016-02-24 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

In regularized 4-dimensional Einstein-Gauss-Bonnet (EGB) gravity derived from a Kaluza-Klein reduction of higher-dimensional EGB theory, we study the existence and stability of black hole (BH) solutions on a static and spherically symmetric…

广义相对论与量子宇宙学 · 物理学 2022-08-02 Shinji Tsujikawa

We consider the linear stability of $4$-dimensional hairy black holes with mixed boundary conditions in Anti-de Sitter spacetime. We focus on the mass of scalar fields around the maximally supersymmetric vacuum of the gauged $\mathcal{N}=8$…

高能物理 - 理论 · 物理学 2015-11-04 Andres Anabalon , Dumitru Astefanesei , Julio Oliva

The nonmodal linear stability of the Schwarzschild black hole established in Phys. Rev. Lett. 112 (2014) 191101 is generalized to the case of a nonnegative cosmological constant $\Lambda$. Two gauge invariant combinations $G_{\pm}$ of…

广义相对论与量子宇宙学 · 物理学 2016-09-26 Gustavo Dotti