Fluid/Gravity Correspondence with Scalar Field and Electromagnetic Field

TL;DR

This paper explores how scalar and electromagnetic fields influence the fluid/gravity correspondence in rotating black hole backgrounds, revealing external forces and rotational effects on the dual fluid dynamics.

Contribution

It extends the fluid/gravity correspondence framework to include scalar and electromagnetic fields in rotating black hole spacetimes, highlighting their effects on dual fluid equations.

Findings

Scalar and electromagnetic fields act as external forces in the dual Navier-Stokes equations.

Black hole rotation induces Coriolis force in the dual fluid.

The method uses Petrov-like boundary conditions to establish these effects.

Abstract

We consider fluid/gravity correspondence in a general rotating black hole background with scalar and electromagnetic fields. Using the method of Petrov-like boundary condition, we show that the scalar and the electromagnetic fields contribute external forces to the dual Navier-Stokes equation and the rotation of black hole induces the Coriolis force.