Non-linear evolution of five-dimensional black strings in effective field theory

Abstract

We use numerical relativity to study the non-linear instability of five-dimensional black strings in Einstein-Gauss-Bonnet gravity. Black strings evolve into a series of black holes joined by thinner string-like segments, but key features of the dynamics depend on the sign of the Gauss-Bonnet coupling. For positive coupling, favored by UV considerations, the growth of curvature invariants is limited within the validity of effective field theory (EFT), suggesting a mechanism for restoring weak cosmic censorship. For negative coupling this cap is absent and curvatures may grow until the EFT breaks down.