Gravity-mediated holography in fluid dynamics

TL;DR

This paper establishes a dual fluid description near black hole horizons, showing it obeys Navier-Stokes equations with external forces derived from spacetime curvature and bulk fluid stress-energy.

Contribution

It introduces a gravity-mediated holographic duality for fluid dynamics in black hole spacetimes with ideal fluids, linking horizon physics to incompressible fluid behavior.

Findings

Dual fluid is incompressible and obeys Navier-Stokes equations.

External force in the fluid arises from spacetime curvature and bulk stress-energy.

Framework applies to spherically symmetric black hole spacetimes.

Abstract

For any spherically symmetric black hole spacetime with an ideal fluid source, we establish a dual fluid system on a hypersurface near the black hole horizon. The dual fluid is incompressible and obeys Navier-Stokes equation subject to some external force. The force term in the fluid equation consists in two parts, one comes from the curvature of the hypersurface, the other comes from the stress-energy of the bulk fluid.