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We study magnetically charged black holes in the Einstein-Yang-Mills-Higgs theory in the limit of infinitely strong coupling of the Higgs field. Using mixed analytical and numerical methods we give a complete description of static…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Peter C. Aichelburg , Piotr Bizon

We study the linear stability of spontaneously scalarized black holes (BHs) induced by a scalar field $\phi$ coupled to a Gauss-Bonnet (GB) invariant $R_{\rm GB}^2$. For the scalar-GB coupling $\xi(\phi)=(\eta/8) (\phi^2+\alpha \phi^4)$,…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Masato Minamitsuji , Shinji Mukohyama , Shinji Tsujikawa

We provide evidence that ``super-extremal'' black hole space-times (either with charge larger than mass or angular momentum larger than mass), which contain naked singularities, are unstable under linearized perturbations. This is given by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gustavo Dotti , Reinaldo Gleiser , Jorge Pullin

In this work, we investigate the linear stability of a magnetized Einstein-Maxwell solution describing a static, axially symmetric black hole (BH) immersed in a uniform magnetic field $B$. We probe the dynamics of an external charged scalar…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Marcos R. Ribeiro , Eveling C. Ribeiro , Kai Lin , Elcio Abdalla

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…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Jose Luis Blázquez-Salcedo , Carlos A. R. Herdeiro , Sarah Kahlen , Jutta Kunz , Alexandre M. Pombo , Eugen Radu

The superradiant stability is investigated for non-extremal Reissner-Nordstrom black hole. We use an algebraic method to demonstrate that all non-extremal Reissner-Nordstrom black holes are superradiantly stable against a charged massive…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Jia-Hui Huang , Zhan-Feng Mai

Spontaneous scalarization is a gravitational phenomenon in which deviations from general relativity arise once a certain threshold in curvature is exceeded, while being entirely absent below that threshold. For black holes, scalarization is…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Georgios Antoniou , Antoine Lehébel , Giulia Ventagli , Thomas P. Sotiriou

We study the stability under perturbations of a charged four dimensional stringy black hole arising from gauging a previously studied WZW model. We find that the black hole is stable only in the extremal case $Q=M$.

High Energy Physics - Theory · Physics 2009-10-22 A. Carlini , F. Fucito , M. Martellini

We investigate the interplaying effects of black hole scalarization and superradiance in the context of the Einstein-Maxwell-scalar model, with the scalar field possessing electric charge. Restricted to spherical symmetry, our linear…

General Relativity and Quantum Cosmology · Physics 2025-08-18 Sebastian Garcia-Saenz , Guangzhou Guo , Peng Wang , Xinmiao Wang

It is reported that Kerr-Newman and Kerr-Sen black holes are unstable to perturbations of charged massive scalar field. In this paper, we study analytically the complex frequencies which characterize charged massive scalar fields in a…

General Relativity and Quantum Cosmology · Physics 2017-11-30 Canisius Bernard

We derive a novel class of four-dimensional black hole solutions in Gauss-Bonnet gravity coupled with a scalar field in presence of Maxwell electrodynamics. In order to derive such solutions, we assume the ansatz $ g_{tt}\neq g_{rr}{}^{-1}$…

General Relativity and Quantum Cosmology · Physics 2023-09-19 Salvatore Capozziello , G. G. L. Nashed

Generic scalar perturbations on a fixed slowly rotating Kerr-AdS black hole background exhibit stable trapping, that is, the scalar field remains in a region between the exterior of the black hole and the AdS boundary for a very long time,…

High Energy Physics - Theory · Physics 2025-09-18 Pau Figueras , Lorenzo Rossi

The well-known superradiant amplification mechanism allows a charged scalar field of proper mass $\mu$ and electric charge $q$ to extract the Coulomb energy of a charged Reissner-Nordstr\"om black hole. The rate of energy extraction can…

General Relativity and Quantum Cosmology · Physics 2016-06-08 Shahar Hod

When a scalar wave perturbation is properly scattering off a charged or rotating black hole, the energy of the reflected scalar wave may be amplified. This is a superradiant process. If this amplification process can occur back and forth…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Jia-Hui Huang , Mu-Zi Zhang , Tian-Tian Cao , Yi-Feng Zou , Zhan-Feng Mai

In the Einstein-Maxwell-charged scalar system with a negative cosmological constant in arbitrary dimensions higher than three, there exists a horizonless charged soliton solution, which we construct explicitly for an arbitrary mass of the…

High Energy Physics - Theory · Physics 2024-02-08 Takaaki Ishii , Yu Nakayama

We investigate the propagation of a scalar field in a $(2+1)$-dimensional accelerated black hole, recently revisited in \cite{Arenas_Henriquez_2022}. We briefly describe the minimally-coupled configuration as rendering a trivial scalar…

General Relativity and Quantum Cosmology · Physics 2024-04-16 R. D. B. Fontana , Angel Rincon

In this work we extend and generalize our previous work on the scale dependence at the level of the effective action of black holes in the presence of non-linear electrodynamics. In particular, we consider the Einstein-power-Maxwell theory…

High Energy Physics - Theory · Physics 2018-08-29 Angel Rincon , Ernesto Contreras , Pedro Bargueño , Benjamin Koch , Grigorios Panotopoulos

We classified and studied the charged black hole and wormhole solutions in the Einstein--Maxwell system in the presence of a massless, real scalar field. The possible existence of charged black holes in general scalar--tensor theories was…

General Relativity and Quantum Cosmology · Physics 2022-03-03 Júlio C. Fabris , Tales A. O. Gomes , Denis C. Rodrigues

We prove a new type of finite time blow-up for a class of semilinear wave equations on extremal black holes. The initial data can be taken to be arbitrarily close to the trivial data. The first singularity occurs along the (degenerate)…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Stefanos Aretakis

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…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Maxime Van de Moortel