Dynamical Spacetimes from Numerical Hydrodynamics
Allan Adams, Nathan Benjamin, Arvin Moghaddam, Wojciech Musial
Dynamical Spacetimes from Numerical Hydrodynamics
Allan Adams, Nathan Benjamin, Arvin Moghaddam, Wojciech Musial
Building dynamical black holes spacetimes requires solving the fully 4-dimensional Einstein equations, a highly-nonlinear set of partial differential equations which govern the time-evolution of spacetime. For near-equilibrium asymptotically-AdS spacetimes, holography reduces the problem to the numerical solution of 3-dimensional hydrodynamics. By numerically solving 3-dimensional hydro and implementing the holographic map, one may numerically construct highly-accurate dynamical spacetimes without ever solving the 4-dimensional Einstein equations directly.