Einstein corpuscles and dark core black holes in spontaneously induced general relativity

Suppose General Relativity, provocatively governed by a dimensional coupling constant, is a spontaneously Induced theory. In which case, black hole configurations are naively expected to get gracefully modified. For example, the exterior Schwarzschild solution is fully recovered at the GR-limit of such a theory. Serendipitously, however, due to a phase transition, which takes place exactly at the would have been horizon, it connects with a novel dark core characterized by a varying Newton constant (the word 'dark' is borrowed from cosmology, where the one and the same theory gives rise to dark matter superimposed by a rippled structure). Once the strict GR-limit is relaxed, localized Einstein-style gravitational corpuscles (practically massless particle configurations with a Newton constant varying core) make their appearance; they become point-like at the GR-limit.