Rotating Black Holes and Coriolis Effect

TL;DR

This paper explores the fluid/gravity correspondence for rotating black holes, revealing that their dual fluid equations include a Coriolis force term linked to the black hole's angular velocity, illustrating a holographic dual to frame-dragging effects.

Contribution

It demonstrates that rotating black holes induce a Coriolis force in the dual fluid description, extending the fluid/gravity correspondence to include rotation effects.

Findings

Dual fluid equations contain a Coriolis force term.

The Coriolis term is related to the black hole's angular velocity.

Frame-dragging effects are holographically represented as Coriolis forces.

Abstract

In this work, we consider the fluid/gravity correspondence for general rotating black holes. By using the Petrov-like boundary condition in near horizon limit, we study the correspondence between gravitational perturbation and fluid equation. We find that the dual fluid equation for rotating black holes contains a Coriolis force term, which is closely related to the angular velocity of the black hole horizon. This can be seen as a dual effect for the frame-dragging effect of rotating black hole under the holographic picture.