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The phenomenon of spontaneous scalarisation of charged black holes (BHs) has recently motivated studies of various Einstein-Maxwell-scalar models. Within these models, different classes of BH solutions are possible, depending on the…

General Relativity and Quantum Cosmology · Physics 2020-05-25 Jose Luis Blázquez-Salcedo , Carlos A. R. Herdeiro , Jutta Kunz , Alexandre M. Pombo , 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

Spherical black hole (BH) solutions in Einstein-Maxwell-scalar (EMS) models wherein the scalar field is non-minimally coupled to the Maxwell invariant by some coupling function are discussed. We suggest a classification for these models…

High Energy Physics - Theory · Physics 2020-01-08 D. Astefanesei , C. Herdeiro , A. Pombo , E. Radu

In this work, we find a new branch of hairy black hole solutions in the Einstein-Maxwell-Scalar (EMS) theory in four-dimensional asymptotically flat spacetimes. Different from spontaneous scalarization induced by tachyonic instabilities in…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Hong Guo , Wei-Liang Qian , Bean Wang

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 phenomenon of spontaneous scalarization of Reissner-Nordstr\"{o}m (RN) black holes has recently been found in an Einstein-Maxwell-scalar (EMS) model due to a non-minimal coupling between the scalar and Maxwell fields. Non-linear…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Peng Wang , Houwen Wu , Haitang Yang

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 perform the stability analysis on scalarized charged black holes in the Einstein-Maxwell-Scalar (EMS) theory by computing quasinormal mode spectrum. It is noted that the appearance of these black holes with scalar hair is closely related…

General Relativity and Quantum Cosmology · Physics 2019-02-06 Yun Soo Myung , De-Cheng Zou

We study black hole (BH) solutions in extended Einstein-Maxwell-scalar theories, which are classified in a subclass of the $U(1)$ gauge-invariant scalar-vector-tensor theories. The scalar field is coupled to the vector field, which has…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Kitaro Taniguchi , Shinta Takagishi , Ryotaro Kase

We construct scalarized planar charged black holes in Einstein-Maxwell-scalar (EMS) theory with the presence of a negative cosmological constant. Domains of existence of black hole solutions are given in term of nonminimally coupling…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Chatchai Promsiri , Takol Tangphati , Ekapong Hirunsirisawat , Supakchai Ponglertsakul

In this paper, we study the spontaneous scalarization of Reissner-Nordstr{\"o}% m (RN) black holes enclosed by a cavity in an Einstein-Maxwell-scalar (EMS) model with non-minimal couplings between the scalar and Maxwell fields. In this…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Feiyu Yao

The asymptotically flat, electrically charged, rotating black holes (BHs) in Einstein-Maxwell-dilaton (EMd) theory are known in closed form for \textit{only} two particular values of the dilaton coupling constant $\gamma$: the…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Carlos Herdeiro , Eugen Radu , Etevaldo dos Santos Costa Filho

We analyze the stability of scalarized charged black holes in the Einstein-Maxwell-Scalar (EMS) theory with quadratic coupling. These black holes are labelled by the number of $n=0,1,2,\cdots$, where $n=0$ is called the fundamental black…

General Relativity and Quantum Cosmology · Physics 2019-08-15 Yun Soo Myung , De-Cheng Zou

Scalarized black holes (BH) have been shown to form dynamically in extended-scalar-tensor theories, either through spontaneous scalarization -- when the BH is unstable against linear perturbations -- or through a non-linear scalarization.…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Zakaria Belkhadria , Alexandre M. Pombo

The thermodynamics of black holes (BHs) within the Einstein Maxwell Scalar (EMS) framework, incorporating Barrow entropy and its logarithmic corrections to analyze quantum gravity effects is investigated here. A static, spherically…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Ritabrata Biswas , Satyajit Pal

We obtain scalar hairy black holes from Einstein-Maxwell-conformally coupled scalar (EMCS) theory with the scalar coupling parameter $\alpha$ to the Maxwell term. In case of $\alpha=0$, the $\alpha=0$ EMCS theory provides constant (charged)…

General Relativity and Quantum Cosmology · Physics 2020-03-04 De-Cheng Zou , Yun Soo Myung

Nonlinearly scalarized black holes are investigated in Einstein-scalar-Gauss-Bonnet (EsGB) theory with polynomial coupling functions $\zeta(\phi)$ satisfying $\zeta''(0) = 0$, where $\zeta'(\phi) = 0$ features besides $\phi=0$ solutions…

General Relativity and Quantum Cosmology · Physics 2026-05-12 De-Cheng Zou , Xu Yang , Meng-Yun Lai , Hyat Huang , Bo Liu , Jutta Kunz , Yun Soo Myung , Rui-Hong Yue

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 construct spinning black holes (BHs) in shift-symmetric Horndeski theory. This is an Einstein-scalar-Gauss-Bonnet model wherein the (real) scalar field couples linearly to the Gauss-Bonnet curvature squared combination. The BH solutions…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

Black holes in 5-dimensional Einstein-Maxwell-Chern-Simons (EMCS) theory and their intriguing properties are discussed. For the special case of the CS coupling constant $\lambda=\lambda_{SG}$, as obtained from supergravity, a closed form…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Jutta Kunz , Jose Luis Blázquez-Salcedo , Francisco Navarro-Lérida , Eugen Radu
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