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We study analytically the Klein-Gordon wave equation for stationary massive scalar fields linearly coupled to spinning Kerr black holes. In particular, using the WKB approximation, we derive a compact formula for the discrete spectrum of…

High Energy Physics - Theory · Physics 2017-03-21 Shahar Hod

It is reported that massive scalar fields can form bound states around Kerr black holes [C. Herdeiro, and E. Radu, Phys. Rev. Lett. 112, 221101 (2014)]. These bound states are called scalar clouds, which have a real frequency…

General Relativity and Quantum Cosmology · Physics 2015-04-21 Ran Li , Junkun Zhao , Xinghua Wu , Yanming Zhang

The Klein-Gordon equation for a massive scalar field in the background of a rapidly-rotating Kerr black hole is studied analytically. In particular, we derive a simple formula for the stationary (marginally-stable) resonances of the field…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Shahar Hod

In this paper, the behaviour of a charged massive scalar test field in the background of a Kerr-Sen black hole is investigated. A kind of stationary solutions, dubbed scalar clouds, are obtained numerically and expressed by the existence…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Yang Huang , Dao-Jun Liu , Xiang-Hua Zhai , Xin-Zhou Li

It has recently been proved that, in the presence of vortex flows, the fluctuation dynamics of a rotating photon-fluid model is governed by the Klein-Gordon equation of an effective massive scalar field in a $(2+1)$-dimensional acoustic…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Shahar Hod

It has recently been demonstrated that black holes with spatially regular horizons can support external scalar fields (scalar hairy configurations) which are non-minimally coupled to the Gauss-Bonnet invariant of the curved spacetime. The…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Shahar Hod

The physical and mathematical properties of the composed Reissner-Nordstr\"om-black-hole-massive-scalar-field system are studied {\it analytically} in the dimensionless large-mass $M\mu\gg1$ regime [here $\{M,\mu\}$ are respectively the…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Shahar Hod

Rotating black holes can support quasi-stationary (unstable) bound-state resonances of massive scalar fields in their exterior regions. These spatially regular scalar configurations are characterized by instability timescales which are much…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Shahar Hod

It is shown that Kerr-Newman black holes can support linear charged scalar fields in their exterior regions. To that end, we solve analytically the Klein-Gordon wave equation for a stationary charged massive scalar field in the background…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Shahar Hod

Spinning Kerr black holes are known to be superradiantly unstable to massive scalar perturbations. We here prove that the instability regime of the composed Kerr-black-hole-massive-scalar-field system is bounded from above by the…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Shahar Hod

We find quasinormal spectrum of the massive scalar field in the background of the Kerr black holes. We show that all found modes are damped under the quasinormal modes boundary conditions when $\mu M$ is not large, thereby implying…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. A. Konoplya , A. Zhidenko

It has recently been demonstrated that static spatially regular scalar fields, which are non-minimally coupled to the electromagnetic field of a charged central black hole, can be supported in the exterior regions of the black-hole…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Shahar Hod

Massive bosonic fields in the background of a Kerr black hole can either trigger superradiant instabilities (black-hole bombs) or form equilibrium configurations corresponding to pure bound states, known as stationary scalar clouds. Here,…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Marzena Ciszak , Francesco Marino

It was reported that Kerr-Newman black holes can support linear charged scalar fields in their exterior regions. These stationary massive charged scalar fields can form bound states, which are called stationary scalar clouds. In this paper,…

General Relativity and Quantum Cosmology · Physics 2016-10-10 Canisius Bernard

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 analyze the spectrum of massive scalar bound states in the background of extremal Kerr black holes, focusing on modes in the superradiant regime, which grow exponentially in time and quickly deplete the black hole's mass and spin.…

High Energy Physics - Theory · Physics 2014-11-20 J. G. Rosa

In this work we compute numerical bounds on the mass $\mu$ of superradiantly unstable scalar fields in a Kerr black hole background using the continued fraction method. We show that the normalized upper bound on the mass $\mu$ increases…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Maurício Richartz , João Luís Rosa , Emanuele Berti

Motivated by novel results in the theory of wave dynamics in black-hole spacetimes, we analyze the dynamics of a massive scalar field surrounding a rapidly rotating Kerr black hole. In particular, we report on the existence of stationary…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Shahar Hod

We investigate the wave dynamics of a charged massive scalar field propagating in a maximally rotating (extremal) linear dilaton black hole geometry. We prove the existence of a discrete and infinite family of resonances describing…

General Relativity and Quantum Cosmology · Physics 2017-09-07 G. Tokgoz , I. Sakalli

It has recently been revealed that charged scalar clouds, spatially regular matter configurations which are made of linearized charged massive scalar fields, can be supported by spinning and charged Kerr-Newman black holes. Using analytical…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Shahar Hod
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