Stationary Scalar Clouds Around Maximally Rotating Linear Dilaton Black Holes

TL;DR

This paper demonstrates the existence of stationary scalar field configurations, or clouds, around extremal linear dilaton black holes, suggesting potential dark matter distributions and providing analytical insights into their structure.

Contribution

It proves the existence of an infinite family of stationary scalar clouds around maximally rotating linear dilaton black holes, a novel finding in black hole physics.

Findings

Existence of an infinite family of scalar clouds

Analytical computation of cloud heights

Implications for dark matter around 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.