The fluid/gravity correspondence

TL;DR

This paper reviews the fluid/gravity correspondence, a theoretical framework linking Einstein's equations with negative cosmological constant to relativistic fluid dynamics, specifically Navier-Stokes equations.

Contribution

It provides a comprehensive review of how gravitational dynamics in anti-de Sitter space relate to relativistic fluid behavior.

Findings

Establishes the correspondence between Einstein's equations and Navier-Stokes equations.

Highlights the applications of the fluid/gravity duality in theoretical physics.

Summarizes key developments and implications of the correspondence.

Abstract

We review the fluid/gravity correspondence which relates the dynamics of Einstein's equations (with negative cosmological constant) to the dynamics of relativistic Navier-Stokes equations.