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Charge-dependent scalarization of the Einstein-Euler-Heisenberg (EEH) black hole is carried out in the EEH-scalar theory by introducing an exponential scalar coupling with $\alpha$ coupling constant to the Maxwell and nonlinear…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Lina Zhang , Yun Soo Myung , De-Cheng Zou , Chao-Ming Zhang

We study the spontaneous scalarization of a standard conducting charged sphere embedded in Maxwell-scalar models in flat spacetime, wherein the scalar field $\phi$ is nonminimally coupled to the Maxwell electrodynamics. This setup serves as…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Carlos A. R. Herdeiro , Taishi Ikeda , Masato Minamitsuji , Tomohiro Nakamura , Eugen Radu

Spontaneous scalarisation of electrically charged, asymptotically flat Reissner-Nordstr\"om black holes (BHs) has been recently demonstrated to occur in Einstein-Maxwell-Scalar (EMS) models. EMS BH scalarisation presents a technical…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Pedro G. S. Fernandes , Carlos A. R. Herdeiro , Alexandre M. Pombo , Eugen Radu , Nicolas Sanchis-Gual

We show that the monopole scalar charge of black holes in Einstein--Maxwell--dilaton theory is proportional to the electric potential at the event horizon, with a proportionality factor given by (minus) the scalar coupling constant. We also…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Costantino Pacilio

We propose a new model of black hole spontaneous scalarization that combines a scalar--Gauss--Bonnet interaction with a non--minimal coupling to a U(1) gauge field (a dark photon or an electromagnetic field). This construction generalizes…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Zakaria Belkhadria , Salvatore Mignemi

Electro-vacuum black holes are scale-invariant; their energy-momentum tensor is traceless. Quantum corrections of various sorts, however, can often produce a trace anomaly and a breakdown of scale-invariance. The (quantum-corrected) black…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Carlos A. R. Herdeiro , Eugen Radu

Extended scalar-tensor-Gauss-Bonnet (eSTGB) gravity has been recently argued to exhibit spontaneous scalarisation of vacuum black holes (BHs). A similar phenomenon can be expected in a larger class of models, which includes e.g.…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Carlos A. R. Herdeiro , Eugen Radu , Nicolas Sanchis-Gual , José A. Font

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 investigate scalarized charged black holes in the Einstein-Maxwell-Scalar theory with two U(1) fields inspired by the $N=4$ supergravity. From the onset of the spontaneous scalarization (tachyonic instability of Reissner-Nordstr\"{o}m…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Yun Soo Myung , De-Cheng Zou

We study the linear instability and the nonlinear dynamical evolution of the Reissner-Nordstr\"om (RN) black hole in the Einstein-Maxwell-scalar theory in asymptotic flat spacetime. We focus on the coupling function $f(\phi)=e^{-b\phi^2}$…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Wei Xiong , Peng Liu , Chao Niu , Cheng-Yong Zhang , Bin Wang

Einstein gravity minimally coupled to a self-interacting scalar field is investigated in the static and isotropic situation. We explicitly construct in partially closed form a new black-hole solution with exponentially decaying scalar hair.…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Olaf Bechmann , Olaf Lechtenfeld

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

We identify a class of scalar-tensor theories with coupling between the scalar and the Gauss-Bonnet invariant that exhibit spontaneous scalarization for both black holes and compact stars. In particular, these theories formally admit all of…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Hector O. Silva , Jeremy Sakstein , Leonardo Gualtieri , Thomas P. Sotiriou , Emanuele Berti

The Einstein-Maxwell-Klein-Gordon Lagrangian is supplemented by a non-minimal coupling of the real scalar field to the Gauss-Bonnet invariant. The non minimal coupling function is chosen as a general second degree polynomial in the scalar…

General Relativity and Quantum Cosmology · Physics 2020-04-28 Y. Brihaye , J. Renaux

We perform extensive nonlinear numerical simulations of the spherical collapse of (charged) wavepackets onto a charged black hole within Einstein-Maxwell theory and in Einstein-Maxwell-scalar theory featuring nonminimal couplings and a…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Fabrizio Corelli , Taishi Ikeda , Paolo Pani

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

By replacing the scalar $\phi$ with $i\phi$ in the solution constructed in Ref\cite{Huang:2019lsl}, we obtain electrically-charged wormhole and black hole solutions in the Einstein-Maxwell-scalar theory, in which the scalar is a phantom…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Hyat Huang , Jinbo Yang

In the simplest scalar-tensor theories, wherein the scalar field is non-minimally coupled to the Ricci scalar, spontaneous scalarization of electrovacuum black holes (BHs) does not occur. This ceases to be true in higher dimensional…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Dumitru Astefanesei , Carlos Herdeiro , João Oliveira , Eugen Radu

We investigate the possibility of spontaneous scalarization of static, spherically symmetric, and asymptotically flat black holes (BHs) in the Horndeski theory. Spontaneous scalarization of BHs is a phenomenon that the scalar field…

General Relativity and Quantum Cosmology · Physics 2019-05-31 Masato Minamitsuji , Taishi Ikeda

It has recently been shown that nontrivial couplings between a scalar and the Gauss-Bonnet invariant can give rise to black hole spontaneous scalarization. Theories that exhibit this phenomenon are among the leading candidates for testing…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Caio F. B. Macedo , Jeremy Sakstein , Emanuele Berti , Leonardo Gualtieri , Hector O. Silva , Thomas P. Sotiriou