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In the presence of a complex scalar field scalar-tensor theory allows for scalarized rotating hairy black holes. We exhibit the domain of existence for these scalarized black holes, which is bounded by scalarized rotating boson stars and…

General Relativity and Quantum Cosmology · Physics 2015-04-24 Burkhard Kleihaus , Jutta Kunz , Stoytcho Yazadjiev

The Kerr metric is one of the most important solutions to Einstein's field equations, describing the gravitational field outside a rotating black hole. We thoroughly analyze the curvature scalar invariants to study the Kerr spacetime by…

General Relativity and Quantum Cosmology · Physics 2013-10-10 Majd Abdelqader , Kayll Lake

Scalar-tensor theories are a compelling alternative to general relativity and one of the most accepted extensions of Einstein's theory. Black holes in these theories have no hair, but could grow "wigs" supported by time-dependent boundary…

General Relativity and Quantum Cosmology · Physics 2013-06-26 Emanuele Berti , Vitor Cardoso , Leonardo Gualtieri , Michael Horbatsch , Ulrich Sperhake

Kerr black holes with scalar hair are solutions of the Einstein-Klein-Gordon field equations describing regular (on and outside an event horizon), asymptotically flat black holes with scalar hair (arXiv:1403.2757). These black holes…

General Relativity and Quantum Cosmology · Physics 2015-05-05 Carlos Herdeiro , Eugen Radu

We study the fully nonlinear dynamics of black hole spontaneous scalarizations in Einstein-Maxwell scalar theory with coupling function $f(\phi)=e^{-b\phi^{2}}$, which can transform usual Reissner-Nordstr\"om Anti-de Sitter (RN-AdS) black…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Cheng-Yong Zhang , Peng Liu , Yunqi Liu , Chao Niu , Bin Wang

We study massive scalar field perturbation on Kerr black holes in dynamical Chern-Simons gravity by performing a $(2+1)$-dimensional simulation. Object pictures of the wave dynamics in time domain are obtained. The tachyonic instability is…

General Relativity and Quantum Cosmology · Physics 2021-05-28 Shao-Jun Zhang

We describe early success in the evolution of binary black hole spacetimes with a numerical code based on a generalization of harmonic coordinates. Indications are that with sufficient resolution this scheme is capable of evolving binary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Frans Pretorius

Holographic superconductor phase transition and spontaneous scalarization are triggered by the instability of the underlying vacuum black hole spacetime. Although both hairy black hole solutions are closely associated with the tachyonic…

General Relativity and Quantum Cosmology · Physics 2024-05-17 Hong Guo , Wei-Liang Qian , Bean Wang

We revisit scalarized black holes in Einstein-scalar-Gauss-Bonnet gravity and analyze the thermodynamic phase transition between the Schwarzschild solution of general relativity and scalarized black holes. Restricting to spherically…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Meng-Yun Lai , Eugen Radu , De-Cheng Zou

In this paper, we follow up on the discovery of a new type of solution in the Einstein-Maxwell system coupled minimally to a self-interacting complex scalar field. For sufficiently large gravitational coupling and sufficiently small…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Yves Brihaye , Betti Hartmann

Recently a new class of scalarized black holes in Einstein-Gauss-Bonnet (EGB) theories was discovered. What is special for these black hole solutions is that the scalarization is not due to the presence of matter, but {it is induced} by the…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Jutta Kunz , Stoytcho S. Yazadjiev

We show that scalar hair can be added to rotating, vacuum black holes of general relativity. These hairy black holes (HBHs) clarify a lingering question concerning gravitational solitons: if a black hole can be added at the centre of a…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Carlos A. R. Herdeiro , Eugen Radu

Black holes have a unique sensitivity to the presence of ultralight matter fields or modifications of the underlying theory of gravity. In the present paper we combine both features by studying an ultralight, dynamical scalar field that is…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Chloe Richards , Alexandru Dima , Helvi Witek

A numerical study of the evolution of a massless scalar field in the background of rotating black holes is presented. First, solutions to the wave equation are obtained for slowly rotating black holes. In this approximation, the background…

General Relativity and Quantum Cosmology · Physics 2009-12-30 W. Krivan , P. Laguna , P. Papadopoulos

Generalized vector-tensor theories of gravity have drawn attention for admitting hairy black hole solutions, thereby circumventing the standard no-hair theorems. It remains an open question, however, how such black holes may form starting…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Hsu-Wen Chiang , Sebastian Garcia-Saenz , Aofei Sang

We study the process of fully nonlinear dynamical scalarization starting from a charged black hole or a naked singularity in asymptotically flat spacetime in the Einstein-Maxwell-dilaton theory. Initially the dilaton field is negligible…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Cheng-Yong Zhang , Peng Liu , Yunqi Liu , Chao Niu , Bin Wang

We study the evolution of a Kerr black hole emitting scalar radiation via the Hawking process. We show that the rate at which mass and angular momentum are lost by the black hole leads to a final evolutionary state with nonzero angular…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Chris M. Chambers , William A. Hiscock , Brett Taylor

Bosonic fields on rotating black hole spacetimes are subject to amplification by superradiance, which induces exponentially-growing instabilities (the `black hole bomb') in two scenarios: if the black hole is enclosed by a mirror, or if the…

General Relativity and Quantum Cosmology · Physics 2013-07-02 Sam R. Dolan

The general relativity vacuum black holes (BHs) can be scalarised in models where a scalar field non-minimally couples to the Gauss-Bonnet (GB) invariant. Such GB scalarisation comes in two flavours, depending on the GB sign that triggers…

General Relativity and Quantum Cosmology · Physics 2021-11-15 Carlos A. R. Herdeiro , Alexandre M. Pombo , Eugen Radu

Scalar fields coupled to three-dimensional gravity are considered. We uncover a scaling symmetry present in the black hole reduced action, and use it to prove a Smarr formula valid for any potential. We also prove that non-rotating hairy…

High Energy Physics - Theory · Physics 2013-05-29 Maximo Banados , Stefan Theisen