The Energy-driven Model and the Scaling Relations in Galaxies

It is known that the radiation emitted by the accretion disk of supermassive black hole can heat up the surrounding gas in the protogalaxy. If the gas particles are in hydrostatic equilibrium during the galaxy formation and the cooling of the protogalaxy is mainly driven by the gas expansion, the correlation between the supermassive black hole mass MBH and velocity dispersion can naturally arise. Also, ve more related scaling relations can be obtained, which all agrees with empirical ts from observational data. Therefore, this modied energy-driven model may provide a clear picture on how the properties of a galactic supermassive black holes are connected with the kinetic properties of a galaxy.