Correlation of Black Hole and Bulge Masses: Driven by Energy but Correlated with Momentum

TL;DR

This paper demonstrates a proportionality between black hole mass and a momentum-related parameter derived from galaxy properties, supporting a feedback model based on momentum rather than energy.

Contribution

It introduces a new proportionality relation between black hole mass and a galaxy momentum parameter, linking energy-based feedback to momentum correlation.

Findings

Black hole mass is proportional to the galaxy momentum parameter .3.

The relation supports a feedback model driven by momentum rather than energy.

Empirical data from 49 galaxies confirms the proportionality.

Abstract

We use a recent sample of 49 galaxies to show that there is a proportionality relation between the black hole mass M_BH and the quantity \mu =M_G*\sigma /c, where M_G is mass of the spheroidal stellar component and \sigma is the stellar velocity dispersion. \mu is called the momentum parameter and the ratio is M_BH/\mu ~3.3. This result is applied to the penetrating-jet feedback model which argues that the correlation that holds is with a momentum-like parameter, although this feedback mechanism is based on energy balance.