On weak solutions to the geodesic equation in the presence of curvature bounds

Strong Cosmic Censorship with bounded curvature

“…Note that existence of geodesic curves, and hence the Jacobi equation, can be made sense of in a standard way for connections in L p when the curvature is bounded in L p[36] 2. Inextendability with Lipschitz metrics was recently also addressed in[15,38].…”