An experimental test of the relation M_• ∝ R_eσ³ and of the corresponding model to estimate the efficiency of a supermassive black hole

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

“…We have studied the remaining sample of 179 objects with a particular attention for the behavior of spiral galaxies in the context of our relation. In general, they have a rotation velocity which is greater than the velocity dispersion (but NGC 4388 is a typical counterexample having V /σ = 0.6) and our theoretical model works well for low values of angular momentum, so we have verified in a first approach (Feoli & Iannella 2019) that the fit of the experimental data improves if we exclude from the sample all the spiral galaxies. In order to face the problem, in this paper the sample has been divided into two subsamples, one with all the 66 spiral galaxies listed in Appendix A and the other including the remaining 113 early-type galaxies that have been studied separately.…”

“…Thanks to the efficiency lines of Fig. 2, we have divided Feoli & Iannella (2019) the 113, experimental points of early-type galaxies in this way: 30 (26.5%) belong to the first type, 75 (66.4%) to the second and 8 (7.1%) to the third one, even if the error bars on the single variables make a classification for the galaxies placed on the border line between two different zones of the diagram difficult.…”

Some Predictions of Scaling Relations: The Case of the Black Hole in M87

“…Further details can be found in Feoli andMancini (2011), Feoli (2014a) and Beltramonte et al (2019). This model works better for the early-type galaxies, as can be observed in Feoli and Iannella (2019) and in Beltramonte et al (2019).…”