A fundamental equation for Supermassive Black Holes

Abstract

We developed a theoretical model able to give a common origin to the correlations between the mass of supermassive black holes and the mass, velocity dispersion, kinetic energy and momentum parameter of the corresponding host galaxies. Our model is essentially based on the transformation of the angular momentum of the interstellar material, which falls into the black hole, into the angular momentum of the radiation emitted in this process. In this framework, we predict the existence of a relation of the form $M_{b}h\propto R_e{\sigma }^3$, which is confirmed by the experimental data and can be the starting point to understand the other popular scaling laws too.

11 pages, 2 figures, to appear on International Journal of Modern Physics D

References in corpus (14)

• Cosmological simulations of the growth of supermassive black holes and feedback from active galactic nuclei: method and tests
• The SAURON project -- IX. A kinematic classification for early-type galaxies
• The black hole mass -- stellar velocity dispersion correlation: bulges versus pseudobulges
• The Spitzer/IRAC view of black hole - bulge scaling relations
• An Observed Fundamental Plane Relation for Supermassive Black Holes
• A Theoretical Interpretation of the Black Hole Fundamental Plane
• Modeling the cosmological co-evolution of supermassive black holes and galaxies: I. BH scaling relations and the AGN luminosity function
• Host Galaxy Bulge Predictors of Supermassive Black Hole Mass
• Correlation of Black Hole and Bulge Masses: Driven by Energy but Correlated with Momentum
• A HR-like diagram for galaxies: the M_BH versus M_G sigma^2 relation
• One-zone models for spheroidal galaxies with a central supermassive black-hole. Self-regulated Bondi accretion
• Improved tests on the relationship between the kinetic energy of galaxies and the mass of their central black holes
• Correlation of Black Hole-Bulge Masses by AGN Jets
• The SMBH mass versus M_G sigma^2 relation: A comparison between real data and numerical models

Cited by in corpus (4)

• Galaxy bulges and their massive black holes: a review
• The (Black Hole Mass)-(Spheroid Stellar Density) Relations: $M_{\mathrm{BH}}$--$\mu$ (and $M_{\mathrm{BH}}$--$\Sigma$) and $M_{\mathrm{BH}}$--$\rho$
• The influence of mergers and ram-pressure stripping on black hole-bulge correlations
• A study of the scaling relation $M_{\bullet }\propto R_e{\sigma }^3$ for supermassive black holes and an update of the corresponding theoretical model