Selected Problems in Computational Gravity
Einstein's theory of general relativity comprises a system of ten highly nonlinear, coupled differential equations. This makes problems in general relativity notoriously difficult to solve via analytic methods. Therefore, numerical simulations and other computational techniques are often required to make progress. In this work, we discuss three such problems: transition amplitudes and the arrow of time in causal dynamical triangulations (CDT), discontinuous Galerkin finite element (DGFE) methods for relativistic astrophysics, and the stability of Kerr black holes with Proca hair.