The SMBH mass versus M_G sigma^2 relation: A comparison between real data and numerical models

TL;DR

This paper explores a new relation between supermassive black hole mass and galaxy bulge kinetic energy, showing it fits observational data better than traditional laws and comparing it with galaxy formation models.

Contribution

It introduces the SMBH mass versus M_G sigma^2 relation as a superior fit to galaxy data and compares it with theoretical models within LambdaCDM cosmology.

Findings

The new relation fits observational data better than previous laws.

Confirmed the relation's validity across multiple galaxy samples.

Compared the relation with galaxy formation models from Millennium Simulation.

Abstract

The relation between the mass of supermassive black holes located in the center of the host galaxies and the kinetic energy of random motions of the corresponding bulges can be reinterpreted as an age-temperature diagram for galaxies. This relation fits the experimental data better than the M_bh-M_G, M_bh-L_G, and M_bh-sigma laws. The validity of this statement has been confirmed by using three samples extracted from different catalogues of galaxies. In the framework of the LambdaCDM cosmology our relation has been compared with the predictions of two galaxy formation models based on the Millennium Simulation.