  The singularity of a spherical (Schwarzschild) black hole is a surface, not a
point. A freely-falling, non-rotating observer sees Hawking radiation with
energy density diverging with radius as $\rho \propto r^{-6}$ near the
Schwarzschild singular surface. Spacetime inside a rotating (Kerr) black hole
terminates at the inner horizon because of the Poisson-Israel mass inflation
instability. If the black hole is accreting, as all realistic black holes do,
then generically inflation gives way to Belinski-Khalatnikov-Lifshitz
oscillatory collapse to a strong, spacelike singular surface.
