Interpolation of Schwarzschild and de Sitter spacetimes by a cosmological fluid

Abstract

The regular de Sitter core and astrophysical Schwarzschild black hole metrics are interpolated by a cosmological fluid. The cosmological constant Lambda and the mass M of the emergent regular black hole are both indispensable parameters of our phenomenological model. Asymptotically the fluid satisfies weak energy condition (WEC) and it imposes constraints to rule the physical properties of the resulting astrophysical black hole. Above all, our fluid model proves the existence of supermassive, regular black holes due to the smallness of Lambda in our universe and strictly not by collapsing of supermassive objects. Concerning the problematic smallness of Lambda, our choice is based on the upper limit determined by the solar system energy density (similar to 10(3)J/m(3)) . Within this bound, however, we show that our galaxy Milky Way doesn't admit such a cosmological fluid interpretation.