Growth of massive black holes at their late stage

TL;DR

This paper models the growth of massive black holes through accretion phases, especially ADAFs, and assesses their contribution to the X-ray and gamma-ray backgrounds, constraining late-stage black hole growth.

Contribution

It introduces a method to estimate black hole growth during ADAF phases and improves XRB modeling by including ADAF contributions, providing new constraints on black hole evolution.

Findings

Less than 15% of black hole mass density was accumulated during ADAF phases.

ADAFs contribute less than 1% to the extragalactic gamma-ray background.

Inclusion of ADAFs improves the fit to the observed hard X-ray background.

Abstract

We derive the black hole mass density as a function of redshift with the bolometric luminosity function of AGN assuming that massive black holes grew via accreting the circumnuclear gases, in which the derived black hole mass density is required to match the measured local black hole mass density at z=0. ADAFs are supposed to present in low luminosity AGNs/normal galaxies, which are very hot and radiate mostly in the hard X-ray band. Most of the XRB is contributed by bright AGNs, and a variety of AGN population synthesis models were developed to model the observed XRB in the last two decades. Based on our derived black hole mass density, we calculate the contribution to the XRB from the ADAFs in faint AGNs/normal galaxies with a given Eddington ratio distribution, which is mostly in hard X-ray energy band with an energy peak at ~200 keV. The growth of massive black holes during ADAF phase can therefore be constrained with the observed XRB. Combining an AGN population synthesis model with our results, we find that the fitting on the observed XRB, especially at hard X-ray energy band with \ga 100 keV, is improved provided the contribution of the ADAFs in low luminosity AGNs/normal galaxies is properly included. It is found that less than ~15 per cent of local massive black hole mass density was accreted during ADAF phases. We suggest that more accurate measurements of the XRB in the energy band with \ga 100 keV in the future may help constrain the growth of massive black holes at their late stage. We also calculate their contribution to the extragalactic gamma-ray background, and find that less than ~1% of the observed EGRB is contributed by the ADAFs in these faint sources.