  Black holes harbor a spacetime singularity of infinite curvature, where
classical spacetime physics breaks down, and current theory cannot predict what
will happen. However, the singularity is invisible from the outside because
strong gravity traps all signals, even light, behind an event horizon. In this
essay we discuss whether it might be possible to destroy the horizon, if a body
is tossed into the black hole so as to make it spin faster and/or have more
charge than a certain limit. It turns out that one could expose a "naked"
singularity if effects of the body's own gravity can be neglected. We suspect
however that such neglect is unjustified.
