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Holography has provided valuable insights into the time evolution of stronglycoupled gauge theories in a fixed spacetime. However, this framework isinsufficient if this spacetime is dynamical. We present a scheme to evolve afour-dimensional, strongly interacting gauge theory coupled to four-dimensionaldynamical gravity in the semiclassical regime. As in previous work, we useholography to evolve the quantum gauge theory stress tensor, whereas thefour-dimensional metric evolves according to Einstein's equations coupled tothe expectation value of the stress tensor. The novelty of our approach is thatboth the boundary and the bulk spacetimes are constructed dynamically, one timestep at a time. We focus on Friedmann-Lema\^itre-Robertson-Walker geometriesand evolve far-from-equilibrium initial states that lead to asymptoticallyexpanding, flat or collapsing Universes

Holographic Evolution with Dynamical Boundary Gravity