Luminosity and stellar mass functions of discs and spheroids in the SDSS and the supermassive black hole mass function

• Published in: Monthly notices of the Royal Astronomical Society Vol. 379; no. 3; pp. 841 - 866
• Main Authors: Benson, A. J., Džanović, Dajana, Frenk, C. S., Sharples, Ray
• Format: Journal Article
• Language: English
• Published: Oxford, UK Blackwell Publishing Ltd 11-08-2007; Blackwell Science; Oxford University Press
• Subjects: Astronomy; Astrophysics; Black holes; Earth, ocean, space; Exact sciences and technology; galaxies: abundances; galaxies: bulges; galaxies: luminosity function; galaxies: luminosity function, mass function; galaxies: statistics; galaxies: structure; Luminosity; mass function; Stars & galaxies; galaxies: structure; galaxies: abundances; galaxies: luminosity function, mass function; galaxies: statistics; galaxies: bulges; Galaxies; Black holes; Luminosity; Abundance; Galaxy bulge; Supermassive black hole; Algorithms; Mass function; Stellar mass; Galaxy structure; Galaxy formation; Mapping manifolds; Cosmology; Models; Sky surveys; Luminosity function
• ISSN: 0035-8711; 1365-2966
• DOI: 10.1111/j.1365-2966.2007.11923.x

Using the galactica (GALaxy Automated ComponenT Image Construction Algorithm) code of Benson et al., we obtain quantitative measurements of spheroid-to-disc ratios for a sample of 8839 galaxies observed in the Sloan Digital Sky Survey (SDSS). We carry out extensive tests of this code and of gim2d, finding that they perform similarly in all respects. From the spheroid and disc luminosities, we construct luminosity and stellar mass functions for each component and estimate the relative luminosity and stellar mass densities of discs and spheroids in the local Universe. Assuming a simple one-to-one mapping between spheroid mass and the mass of a central supermassive black hole, we provide the most accurate determination so far of the black hole mass function in the local universe. From this, we infer a cosmological mass density of black holes of ρ•= (3.77 ± 0.97) × 105 h M⊙ Mpc−3. We compare our results to predictions from current hierarchical models of galaxy formation and these are found to fare well in predicting the qualitative trends observed. We find that stars in discs contribute 35–51 per cent of the local stellar mass density.