The advent of gravitational wave astronomy provides an exciting opportunity to test potential modifications of General Relativity ("modified gravity") in the strong field, dynamical regime. We motivate why studying modified gravity is interesting, and then discuss several current approaches used to interpret and test modified gravity theories. We go on to describe our recent work on numerically determining the nonlinear dynamics of a particular modified gravity theory, Einstein dilaton Gauss-Bonnet (EdGB) gravity. This theory has attracted recent attention as it admits "scalarized" black hole solutions. Our work suggests that the theory violates a form of weak cosmic censorship, and thus may not be viable as a classical field theory. We discuss how the methods we used to study EdGB gravity could be applied to a wide class of modified gravity models.
