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

TL;DR

This paper evaluates a theoretical scaling law relating black hole mass to galaxy properties, confirming its accuracy for early-type galaxies and proposing a new approach for spiral galaxies based on recent data.

Contribution

It compares a theoretical model of black hole-galaxy scaling with recent observations and updates the model for spiral galaxies.

Findings

Excellent agreement with data for early-type galaxies

Proposes a new approach for spiral galaxies

Supports the physical principle of angular momentum transformation

Abstract

In this paper we want to compare the theoretical predictions of a law proposed by Feoli and Mancini, with the most recent experimental data about galaxies and Supermassive black holes. The physical principle behind this law is 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. Despite the simplicity of the model, this law shows an excellent agreement with the experimental data for early-type galaxies while a new approach is proposed for spirals.