Mon. Not. R. Astron. Soc., 462, 1864-1881 (2016/October-3)
Dark-matter haloes and the M-σ relation for supermassive black holes.
LARKIN A.C. and McLAUGHLIN D.E.
Abstract (from CDS):
We develop models of two-component spherical galaxies to establish scaling relations linking the properties of spheroids at z = 0 (total stellar masses, effective radii Re and velocity dispersions within Re) to the properties of their dark-matter haloes at both z = 0 and higher redshifts. Our main motivation is the widely accepted idea that the accretion-driven growth of supermassive black holes (SMBHs) in protogalaxies is limited by quasar-mode feedback and gas blow-out. The SMBH masses, MBH, should then be connected to the dark-matter potential wells at the redshift zqso of the blow-out. We specifically consider the example of a power-law dependence on the maximum circular speed in a protogalactic dark-matter halo: MBH ∝V4d,pk, as could be expected if quasar-mode feedback were momentum-driven. For haloes with a given Vd,pk at a given zqso >= 0, our model scaling relations give a typical stellar velocity dispersion σap(Re) at z = 0. Thus, they transform a theoretical MBH-Vd,pk relation into a prediction for an observable MBH-σap(Re) relation. We find the latter to be distinctly non-linear in log-log space. Its shape depends on the generic redshift evolution of haloes in a Λ cold dark matter cosmology and the systematic variation of stellar-to-dark matter mass fraction at z = 0, in addition to any assumptions about the physics underlying the MBH-Vd,pk relation. Despite some clear limitations of the form we use for MBH versus Vd,pk, and even though we do not include any SMBH growth through dry mergers at low redshift, our results for MBH-σap(Re) compare well to data for local early types if we take zqso ∼ 2-4.
© 2016 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society
galaxies: bulges - galaxies: elliptical and lenticular, cD - galaxies: fundamental parameters - galaxies: haloes - quasars: supermassive black holes - quasars: supermassive black holes
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