Dynamical Spacetimes from Numerical Hydrodynamics

Allan Adams,  Nathan Benjamin, Arvin Moghaddam, Wojciech Musial

arxiv:1411.2001 [hep-th, gr-qc]


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.

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