Dual Fluid for the Kerr Black Hole

TL;DR

This paper constructs an explicit dual fluid model on the Kerr black hole horizon using algebraic properties of the solution, demonstrating its stability through energy balance analysis.

Contribution

It introduces an explicit dual fluid solution for the Kerr black hole and analyzes its stability, leveraging the algebraic speciality of the Kerr metric.

Findings

The dual fluid on the Kerr horizon is explicitly constructed.

The dual fluid is shown to be stable due to the Kerr solution's algebraic properties.

Stability is confirmed through energy balance equations.

Abstract

Rotating black holes are algebraically special solutions to the vacuum Einstein equation. Using properties of the algebraically special solutions we construct the dual fluid, which flows on black hole horizon. An explicit form of the Kerr solution allows us to write an explicit dual fluid solution and investigate its stability using energy balance equation. We show that the dual fluid is stable because of high algebraic speciality of the Kerr solution.