Does Einstein's theory of special or general relativity incorporate volume?
In a particle accelerator two particles smash together at relativistic speeds and "create" new particles (quarks etc) due to $E=mc^2$. In our space-time, the volume needed for these new clumps of mass already exists in local space-time.
What happens in the super-dense core of a galaxy where stars and black holes are all sucked together into a super-dense object? Presumably, all the matter has been compressed to its theoretical limit. When another super-dense object (another black hole) strikes it at relativistic speeds, where does the volume come from to accommodate the creation of these new particles? If space-time of a black hole is infinitely curved, how can new volume be created for these particles to occupy?