Question

Does everything in a black hole contain a singularity?

Answer 1

All black holes contain singularities, however not all singularities involve black holes. A neutron star may be dense, matter the size of a pinhead can weigh as much as the earth, but there seems to be a mathematical cut-off point beyond which a black hole is formed.

Answer 2

In the real universe, no black holes contain singularities. In general, singularities are the non-physical mathematical result of a flawed physical theory.