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The large-mass limit of cloudy black holes · Around

2016

The large-mass limit of cloudy black holes

Hod, Shahar

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The interplay between black holes and fundamental fields has attracted much attention over the years from both physicists and mathematicians.

In this paper we study {\it analytically} a physical system which is composed of massive scalar fields linearly coupled to a rapidly-rotating Kerr black hole.
Using simple arguments, we first show that the coupled black-hole-scalar-field system may possess stationary bound-state resonances (stationary scalar `clouds') in the bounded regime $1<\mu/m\Omega_{\text{H}}<\sqrt{2}$, where $\mu$ and $m$ are respectively the mass and azimuthal harmonic index of the field, and $\Omega_{\text{H}}$ is the angular velocity of the black-hole horizon.
We then show explicitly that these two bounds on the dimensionless ratio $\mu/m\Omega_{\text{H}}$ can be saturated in the asymptotic $m\to\infty$ limit.

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S. Hod, Phys. Rev. D 84
Original
2011
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H. Yang, D. A. Nichols, F. Zhang, A. Zimmerman, Z. Zhang and Y. Chen, Phys. Rev. D 86
2012
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S. Hod, Phys. Lett. B 708
Original
2012
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S. Hod, Phys. Rev. D 86
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S. Hod, Phys. Rev. Lett. 100
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2010

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Z. Stuchlík and J. Schee, Class. Quantum Grav. 27

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We refer here to fundamental fields which are not associated with globally conserved charges

Cited in the paper.

By ‘fundamental object’ we mean an object which is characterized by only few conserved parameters, much like the hydrogen atom in quantum mechanics

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Since non-linear effects tend to stabilize an exterior black-hole hair, we conjectured in [ 8 ] the existence of non-static black holes that are nonlinearly coupled to exterior scalar fields

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S. Hod, Phys. Rev. D 90

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V. Cardoso, O. J. C. Dias, J. P. S. Lemos and S. Yoshida, Phys. Rev. D 70

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