I swear to Einstein and   a dice playing God that rebounding stars of the gravity well type exist,

No they do not.
A rebound occurs in some supernovae, but that is the birth of a black hole (or neutron star) not the end of one.

in the works of current respected cosmologists
Names and quotes?

Large black holes do not explode. Matter can not escape.
They can "evaporate" through Hawking radiation, but only disappear in a puff of radiation when very small.

According to present understanding, that is. (OK Musket?)