Dynamical Spacetimes from Numerical Hydrodynamics

TL;DR

This paper numerically constructs dynamical asymptotically-AdS4 metrics by applying fluid/gravity correspondence to dissipative hydrodynamics solutions, achieving high-accuracy Einstein's equations solutions in (3+1) dimensions.

Contribution

It introduces a method to generate dynamical spacetimes from numerical hydrodynamics solutions, bridging fluid dynamics and gravitational physics.

Findings

Numerical metrics satisfy Einstein's equations with high accuracy.

Successful construction of dynamical asymptotically-AdS4 spacetimes.

Demonstrates the applicability of fluid/gravity duality in numerical settings.

Abstract

We numerically construct dynamical asymptotically-AdS$_4$ metrics by evaluating the fluid/gravity metric on numerical solutions of dissipative hydrodynamics in (2+1) dimensions. The resulting numerical metrics satisfy Einstein's equations in (3+1) dimensions to high accuracy.