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We study the stability of (4+1)-dimensional charged Gauss-Bonnet black holes and solitons. We observe an instability related to the condensation of a scalar field and construct explicit "hairy" black hole and soliton solutions of the full…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Yves Brihaye , Betti Hartmann

We present spontaneous scalarization of charged black holes (BHs) which is induced by the coupling of the scalar field to the electromagnetic field strength and the double-dual Riemann tensor $L^{\mu\nu\alpha\beta}F_{\mu\nu}F_{\alpha\beta}$…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Taishi Ikeda , Tomohiro Nakamura , Masato Minamitsuji

It has recently been demonstrated that Reissner-Nordstr\"om black holes in composed Einstein-Maxwell-scalar field theories can support static scalar field configurations with a non-minimal negative coupling to the Maxwell electromagnetic…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Shahar Hod

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

We study the stability of static as well as of rotating and charged black holes in (4+1)-dimensional Anti-de Sitter space-time which possess spherical horizon topology. We observe a non-linear instability related to the condensation of a…

High Energy Physics - Theory · Physics 2015-06-03 Y. Brihaye , B. Hartmann

In the present paper, we construct spontaneously scalarized rotating black hole solutions in dynamical Chern-Simons (dCS) gravity by following the scalar field evolution in the decoupling limit. For the range of parameters where the Kerr…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Daniela D. Doneva , Stoytcho S. Yazadjiev

We consider the quasinormal modes, quasibound states and superradiant instability of a rotating hairy black hole, which possesses a Horndeski hair as deviation from Kerr black hole, under the perturbation of massive scalar field. With the…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Yun-He Lei , Zhen-Hao Yang , Xiao-Mei Kuang

Aretakis has proved the existence of an instability of a massless scalar field at the horizon of an extreme Kerr or Reissner-Nordstrom black hole: for generic initial data, a transverse derivative of the scalar field at the horizon does not…

General Relativity and Quantum Cosmology · Physics 2012-11-16 James Lucietti , Harvey S. Reall

We consider the bound states of the massive scalar field around a rotating black hole immersed in the asymptotically uniform magnetic field. In the regime of slow black hole rotation, the Klein-Gordon equation allows separation of…

High Energy Physics - Theory · Physics 2009-01-16 R. A. Konoplya

Scalar fields coupled to the Gauss-Bonnet invariant evade the known no-hair theorems and have nontrivial configurations around black holes. We focus on a scalar field that couples linearly to the Gauss-Bonnet invariant and hence exhibits…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Robert Benkel , Thomas P. Sotiriou , Helvi Witek

We study the spontaneous scalarization of Bardeen black holes, whose tachyonic instability triggers the formation of scalarized charged black holes (SCBHs). In this case, we find infinite ($n=0,1,2,\cdots$) branches of SCBHs with magnetic…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Lina Zhang , Qiyuan Pan , Yun Soo Myung , De-Cheng Zou

We investigate scalarized black holes in the Einstein-minimally coupled scalar theory with a negative potential $V(\phi)=-\alpha^2\phi^6$. The tachyonic instability is absent from analyzing the linearized scalar equation, which could not…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Xiao Yan Chew , Yun Soo Myung

In the framework of the dynamical Chern-Simons gravity, we study the scalar field perturbations of the Reissner-Nordstr\"{o}m-Melvin spacetime, which describes a charged black hole permeated by a uniform magnetic field. In the presence of…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Shao-Jun Zhang , Bin Wang , Eleftherios Papantonopoulos , Anzhong Wang

Spontaneous scalarization is a mechanism that endows relativistic stars and black holes with a nontrivial configuration only when their spacetime curvature exceeds some threshold. The standard way to trigger spontaneous scalarization is via…

General Relativity and Quantum Cosmology · Physics 2020-05-12 Nikolas Andreou , Nicola Franchini , Giulia Ventagli , Thomas P. Sotiriou

We study the interior dynamics of spontaneously scalarized black holes in Einstein-Maxwell-Scalar theory with zero cosmological constant, revealing novel critical phenomena. We demonstrate that, for a wide range of scalar-electromagnetic…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Li Li , Ze Sun , Fu-Guo Yang

We investigate whether a black hole(BH) surrounded by a dark matter (DM) halo has scalar hair/superradiant instability in the scalar tensor theory of gravity. In the scalar tensor theory, the coupling of matter and the scalar field creates…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Junya Tanaka

It is well-known that parity symmetry is broken in the weak interaction but conserved for Einstein's general relativity and Maxwell's electromagnetic theory. Nevertheless, parity symmetry could also be violated in the…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Hao-Jie Lin , Tao Zhu , Shao-Jun Zhang , Anzhong Wang

Can a black hole that suffers a superradiant instability evolve towards a 'hairy' configuration which is stable? We address this question in the context of Einstein-charged scalar field theory. First, we describe a family of static black…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Sam R Dolan , Supakchai Ponglertsakul , Elizabeth Winstanley

The saturation mechanism for the fastest-growing instability of massive scalar field in Kerr metric is identified, assuming saturation by cubic or quartic nonlinearities of the field potential. The resulting spindown rate of the black hole…

High Energy Astrophysical Phenomena · Physics 2016-04-22 Andrei Gruzinov

We discuss a Chern-Simons (CS) scalar field around a rapidly rotating black hole in dynamical CS modified gravity. The CS correction can be obtained perturbatively by considering the Kerr spacetime to be the background. We obtain the CS…

General Relativity and Quantum Cosmology · Physics 2014-09-10 Kohkichi Konno , Rohta Takahashi