On co-existence of black holes and scalar field

Abstract

The exactly solvable 4D scalar black hole model (originated from the modern high-energy theory) is presented. It shows that the existence of black holes (BH) is strongly correlated to global scalar field (SF), in a sense that they mutually impose bounds upon their physical parameters like BH mass (lower bound) or cosmological constant (upper bound). Moreover, we argue that the existence of BH's is the strong criterion for theoretical cosmology which sufficiently narrows the class of physically admissible models. We propose the cosmological model which is not only has been proven to be compatible with the existence of BH's but also agrees with recent experimental data; additionally, it provides a unified description of dark energy and dark matter.