your ID: 0191 First Name: Xinwu Last Name: Cao Affiliation: Shanghai Astronomical Observatory, Chinese Academy of Sciences Title: Growth of massive black holes during radiatively inefficient accretion phases Authors: Xinwu Cao Topic: 1 Session: oral Abstract: There is evidence that the growth of massive black holes is mainly through accreting surrounded gases. The massive black holes in most faint active galactic nuclei (AGNs) and even some normal galaxies are still accreting gases, though their accretion rates could be very low. When the accretion rate $\\dot{m}$ is lower than the critical value $\\dot{m}_{\\rm crit}$ ($\\dot{m}=\\dot{M}/\\dot{M}_{\\rm Edd}$), the transition of a standard thin disk to a radiatively inefficient accretion flow (RIAF) is expected to occur, The RIAF is very hot, and it radiates mostly in the hard X-ray band. We derive the black hole mass density as a function of redshift from the hard X-ray luminosity function of AGNs assuming massive black holes grow via accreting surrounded gases. Both the contributions of bright AGNs and the RIAFs in faint AGNs/normal galaxies to the X-ray background (XRB) are calculated. Comparing with the observed XRB, we find that about 5 per cent of local black hole mass density came from radiatively inefficient accretion phases, if the black holes are spinning rapidly at $a\\sim 0.9$.