What is a white hole?

The equations of general relativity have an interesting mathematical property:
they are symmetric in time. That means that you can take any solution to the
equations and imagine that time flows backwards rather than forwards, and you'll
get another valid solution to the equations. If you apply this rule to the
solution that describes black holes, you get an object known as a white hole.
Since a black hole is a region of space from which nothing can escape, the
time-reversed version of a black hole is a region of space into which nothing
can fall. In fact, just as a black hole can only suck things in, a white hole
can only spit things out.
Can white hole
exists?
White holes are a perfectly valid mathematical solution to the equations of
general relativity, but that doesn't mean that they actually exist in nature. In
fact, they almost certainly do not exist, since there's no way to produce one.
(Producing a white hole is just as impossible as destroying a black hole, since
the two processes are time-reversals of each other.)