  Is Cosmic Censorship special to General Relativity, or can it survive a
violation of equivalence principle? Recent studies have shown that
singularities in Lorentz violating Einstein-Aether (or Horava-Lifhsitz)
theories can lie behind a universal horizon in simple black hole spacetimes.
Even infinitely fast signals cannot escape these universal horizons. We extend
this result, for an incompressible aether, to 3+1d dynamical or spinning
spacetimes which possess inner killing horizons, and show that a universal
horizon always forms in between the outer and (would-be) inner horizons. This
finding suggests a notion of Cosmic Censorship, given that geometry in these
theories never evolves beyond the universal horizon (avoiding potentially
singular inner killing horizons). A surprising result is that there are 3
distinct possible stationary universal horizons for a spinning black hole, only
one of which matches the dynamical spherical solution. This motivates dynamical
studies of collapse in Einstein-Aether theories beyond spherical symmetry,
which may reveal instabilities around the spherical solution.
