  The Ernst spacetime is a solution of the Einstein-Maxwell equations
describing two charged black holes accelerating apart in a uniform electric (or
magnetic) field. As the field approaches a critical value, the black hole
horizon appears to touch the acceleration horizon. We show that weak cosmic
censorship cannot be violated by increasing the field past this critical value:
The event horizon remains intact. On the other hand, strong cosmic censorship
does appear to be violated in this spacetime: For a certain range of
parameters, we find evidence that the inner horizon is classically stable.
