Is the Binding Energy of Galaxies related to their Core Black Hole Mass?

Abstract

Most of the large galaxies host a supermassive black hole, but their origin is still not well understood. In this paper we look at a possible connection between the gravitational binding energies of large galaxies etc. and the masses of their central black holes. Using this relation (between gravitational binding energy of the host structure and the black hole energy) we argue why globular clusters are unlikely to harbour large black holes and why dwarf galaxies, if they have to host black holes, should have observed mass to light ratios of ~100.