The Correlation between black hole mass and bulge velocity dispersion in hierarchical galaxy formation models

By M. Haehnelt, G. Kauffmann. 2000

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ABSTRA C T Recent work has demonstrated that there is a tight correlation between the mass of a black hole and the velocity dispersion of the bulge of its host galaxy. We show that the model of Kauffmann & Haehnelt, in which bulges and supermassive black holes both form during major mergers, produces a correlation between Mbh and s with a slope and scatter comparable to the observed relation. In the model the Mbh‐s relation is significantly tighter than the correlation between black hole mass and bulge luminosity, or the correlation between bulge luminosity and velocity dispersion. There are two reasons for this: (i) the gas masses of bulge progenitors depend on the velocity dispersion but not on the formation epoch of the bulge, whereas the stellar masses of the progenitors depend on both; (ii) mergers between galaxies move black holes along the observed Mbh‐s relation, even at late times when the galaxies are gas-poor and black holes grow mainly the by merging of pre-existing black holes. We conclude that the small scatter in the observed Mbh‐s relation is consistent with a picture in which bulges and black holes form over a wide range in redshift.

Subfields: Astronomy and Astrophysics, Instrumentation

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