Stationary Scalar Clouds Around Maximally Rotating Linear Dilaton Black Holes

Understand

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.