Stationary Scalar Clouds Around Maximally Rotating Linear Dilaton Black Holes

Abstract

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 non-decaying stationary scalar configurations (clouds) enclosing these rapidly rotating black holes. The results obtained signal the potential stationary scalar field distributions (dark matter) around the extremal linear dilaton black holes. In particular, we analytically compute the effective heights of those clouds above the center of the black hole.

Accepted for publication in Classical and Quantum Gravity

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Cited by in corpus (7)

• Black holes with synchronised Proca hair: linear clouds and fundamental non-linear solutions
• Kerr black holes with synchronised scalar hair and higher azimuthal harmonic index
• Skyrmions around Kerr black holes and spinning BHs with Skyrme hair
• Motion and collision of particles in rotating linear dilaton black hole
• Analytical Study of a Kerr-Sen Black Hole and a Charged Massive Scalar Field
• Synchronized stationary clouds in a static fluid
• Motion of test particles around an Einstein-dilaton-Gauss-Bonnet black hole in a uniform magnetic field