the spaceship, at least in principle The work that Roger Penrose

The time interval between the arrival of successive waves at the spaceship
would get longer and longer, and so the light from the star would appear
redder and redder and fainter and fainter. Eventually the star would be so dim

that it could no longer be seen from the spaceship. All that would be left would
be a black hole in space. The star would, however, continue to exert the same
gravitational force on the spaceship. This is because the star is still visible to
the spaceship, at least in principle. It is just that the light from the surface is
so red-shifted by the gravitational field of the star that it cannot be seen.
However, the red shift does not affect the gravitational field of the star itself.
Thus, the spaceship would continue to orbit the black hole.
The work that Roger Penrose and I did between 1965 and 1970 showed that,
according to general relativity, there must be a singularity of infinite density
within the black hole. This is rather like the big bang at the beginning of time,
only it would be an end of time for the collapsing body and the astronaut. At
the singularity, the laws of science and our ability to predict the future would
break down. However, any observer who remained outside the black hole
would not be affected by this failure of predictability, because neither light nor
any other signal can reach them from the singularity.
This remarkable fact led Roger Penrose to propose the cosmic censorship
hypothesis, which might be paraphrased as “God abhors a naked singularity.”
In other words, the singularities produced by gravitational collapse occur only
in places like black holes, where they are decently hidden from outside view
by an event horizon. Strictly, this is what is known as the weak cosmic censorship hypothesis: protect obervers who remain outside the black hole from the
consequences of the breakdown of predictability that occurs at the singularity.
But it does nothing at all for the poor unfortunate astronaut who falls into the
hole. Shouldn’t God protect his modesty as well?
There are some solutions of the equations of general relativity in which it is
possible for our astronaut to see a naked singularity. He may be able to avoid
hitting the singularity and instead fall through a “worm hole” and come out in
another region of the universe. This would offer great possibilities for travel in
space and time, but unfortunately it seems that the solutions may all be highly unstable. The least disturbance, such as the presence of an astronaut, may
change them so that the astronaut cannot see the singularity until he hits it
and his time comes to an end. In other words, the singularity always lies in his
future and never in his past.
The strong version of the cosmic censorship hypothesis states that in a realistic solution, the singularities always lie either entirely in the future, like the
singularities of gravitational collapse, or entirely in the past, like the big bang.
It is greatly to be hoped that some version of the censorship hypothesis holds,
because close to naked singularities it may be possible to travel into the past.
While this would be fine for writers of science fiction, it would mean that no
one's life would ever be safe. Someone might go into the past and kill your
father or mother before you were conceived.
In a gravitational collapse to form a black hole, the movements would be
dammed by the emission of gravitational waves. One would therefore expect
that it would not be too long before the black hole would settle down to a stationary state. It was generally supposed that this final stationary state would
depend on the details of the body that had collapsed to form the black hole.
The black hole might have any shape or size, and its shape might not even be
fixed, but instead be pulsating.