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Despite the recent evidence that anti-de Sitter spacetime is nonlinearly unstable, we argue that many asymptotically anti-de Sitter solutions are nonlinearly stable. This includes geons, boson stars, and black holes. As part of our…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Oscar J. C. Dias , Gary T. Horowitz , Don Marolf , Jorge E. Santos

We present new hairy black hole solutions of su(N) Einstein-Yang-Mills theory (EYM) in asymptotically anti-de Sitter (adS) space. These black holes are described by N+1 independent parameters, and have N-1 independent gauge field degrees of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. E. Baxter , Marc Helbling , Elizabeth Winstanley

An exact hairy asymptotically locally AdS black hole solution with a flat horizon in the Einstein-nonlinear sigma model system in (3+1) dimensions is constructed. The ansatz for the nonlinear $SU(2)$ field is regular everywhere and depends…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Marco Astorino , Fabrizio Canfora , Alex Giacomini , Marcello Ortaggio

We present stable solution of static spherically symmetric Einstein-Yang-Mills equations with the SU(2) gauge group. This solution is asymptotically flat and regular at r = 0 and with nontrivial Yang-Mills(YM) connection. With quantized…

General Relativity and Quantum Cosmology · Physics 2022-10-07 Yuewen Chen , Jie Du , Shing-Tung Yau

In a new gravitational theory with the trace anomaly recently proposed by Gabadadze, we study the existence of hairy black hole solutions on a static and spherically symmetric background. In this theory, the effective 4-dimensional action…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Shinji Tsujikawa

We study the geodesic motion of uncharged particles in the background of a magnetically charged Euler-Heisenberg black hole with a scalar hair. The spacetime can be asymptotically (A)dS or flat and we find, analysing the behavior of the…

General Relativity and Quantum Cosmology · Physics 2023-11-06 Thanasis Karakasis , George Koutsoumbas , Eleftherios Papantonopoulos

Is it possible the no-hair paradigm is violated when a black hole undergoes an instability? Employing massless charged scalar perturbations, we address this question within the context of conformally invariant Einstein-Maxwell theory for…

General Relativity and Quantum Cosmology · Physics 2020-10-01 Afsaneh Rahmani , Mohsen Khodadi , Matin Honardoost , Hamid Reza Sepangi

We examine the thermodynamic stability of large black holes in four-dimensional anti-de Sitter space, and we demonstrate numerically that black holes which lack local thermodynamic stability often also lack stability against small…

High Energy Physics - Theory · Physics 2009-10-31 Steven S. Gubser , Indrajit Mitra

Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild black hole solutions exhibiting time-dependent scalar hair. By making use of Lema\^{i}tre coordinates, we analyze perturbations around these types of black…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-09 Justin Khoury , Mark Trodden , Sam S. C. Wong

We investigate geodesic motion and gravitational-wave signatures of charged black holes with scalar hair. Using the effective potential approach, we analyze marginally bound orbits and innermost stable circular orbits, showing how their…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Weike Deng , Sheng Long , Qin Tan , Jiliang Jing

We present a family of solutions of Einstein's gravity minimally coupled to a complex, massive scalar field, describing asymptotically flat, spinning black holes with scalar hair and a regular horizon. These hairy black holes (HBHs) are…

General Relativity and Quantum Cosmology · Physics 2014-06-11 Carlos A. R. Herdeiro , Eugen Radu

For a static and spherically symmetric black hole, a photon sphere is composed of circular null geodesics of fixed radius, and plays an important role in observing the black hole. Recently, in an Einstein-Maxwell-scalar model with a…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Guangzhou Guo , Peng Wang , Houwen Wu , Haitang Yang

This is the first of series of papers in which we investigate stability of the spherically symmetric space-time with de Sitter center. Geometry, asymptotically Schwarzschild for large $r$ and asymptotically de Sitter as $r\to 0$, describes…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Irina Dymnikova , Evgeny Galaktionov

In this paper, we find that unlike in General Relativity, the shift-symmetric subclass of Beyond Horndeski theories permits black holes with primary hair that are thermodynamically stable and align with current Event Horizon Telescope…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Cristian Erices , Mohsen Fathi

We investigate the linear stability of topological black hole solutions to four-dimensional SU(N) Einstein-Yang-Mills theory with a negative cosmological constant. We here extend recent results in the field which prove the existence of…

General Relativity and Quantum Cosmology · Physics 2015-07-14 J. Erik Baxter

We investigate the thermodynamics of hairy black holes in asymptotically Anti-de Sitter (AdS) space, including backreaction. Resorting to the Euclidean path integral approach, we show that matter conformally coupled to Einstein gravity in…

High Energy Physics - Theory · Physics 2015-06-23 Gaston Giribet , Andres Goya , Julio Oliva

Here we have shown that asymptotically anti-de Sitter (AdS) black holes in the Einstein-Gauss-Bonnet (GB) theory are unstable under linear perturbations of spacetime in some region of parameters. This (eikonal) instability develops at high…

High Energy Physics - Theory · Physics 2017-05-17 R. A. Konoplya , A. Zhidenko

Observations of galactic nuclei help us to test General Relativity. Whereas the No-hair Theorem states that classical, isolated black holes eventually settle to a stationary state that can be characterized by a small number of parameters,…

High Energy Astrophysical Phenomena · Physics 2021-12-30 Vladimir Karas , Michal Zajacek , Devaky Kunneriath , Michal Dovciak

Extremal and near extremal black holes are unstable, unless they are protected by supersymmetry. For black holes in AdS$_3 \times S^3$, we study the range of parameters that bound the unstable region, the fate of extremal black holes that…

High Energy Physics - Theory · Physics 2025-07-08 Finn Larsen , Siyul Lee

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd…

High Energy Physics - Theory · Physics 2009-05-29 Hari K. Kunduri , James Lucietti , Harvey S. Reall
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