  In a previous work [I. Rodnianski and Y. Shlapentokh-Rothman, Naked
Singularities for the Einstein Vacuum Equations: The Exterior Solution,
arXiv:1912.08478] we constructed solutions to the Einstein vacuum equations in
3+1 dimensions which corresponded to the exterior region of a naked
singularity. In this work we construct solutions which correspond to the
interior region and show that the two solutions may be glued together to
produce a naked singularity. Fundamental to our construction is the novel type
of self-similarity for the Einstein vacuum equations that we introduced in our
previous work and also the study of a new class of quasilinear PDE's of mixed
degenerate elliptic-hyperbolic type.
