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Connecting Dark Matter Halos with the Galaxy Center and the Supermassive Black Hole

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 Added by Akos Bogdan
 Publication date 2015
  fields Physics
and research's language is English




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Observational studies of nearby galaxies have demonstrated correlations between the mass of the central supermassive black holes (BHs) and properties of the host galaxies, notably the stellar bulge mass or central stellar velocity dispersion. Motivated by these correlations, the theoretical paradigm has emerged, in which BHs and bulges co-evolve. However, this picture was challenged by observational and theoretical studies, which hinted that the fundamental connection may be between BHs and dark matter halos, and not necessarily with their host galaxies. Based on a study of 3130 elliptical galaxies $-$ selected from the Sloan Digital and ROSAT All Sky Surveys $-$ we demonstrate that the central stellar velocity dispersion exhibits a significantly tighter correlation with the total gravitating mass, traced by the X-ray luminosity of the hot gas, than with the stellar mass. This hints that the central stellar velocity dispersion, and hence the central gravitational potential, may be the fundamental property of elliptical galaxies that is most tightly connected to the larger-scale dark matter halo. Furthermore, using the central stellar velocity dispersion as a surrogate for the BH mass, we find that in elliptical galaxies the inferred BH mass and inferred total gravitating mass within the virial radius (or within five effective radii) can be expressed as $M_{rm{BH}} propto M_{rm tot}^{1.6^{+0.6}_{-0.4}} $ (or $M_{rm{BH}} propto M_{rm{5r_{eff}}}^{1.8^{+0.7}_{-0.6}}$). These results are consistent with a picture in which the BH mass is directly set by the central stellar velocity dispersion, which, in turn, is determined by the total gravitating mass of the system.



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We study the relations between the mass of the central black hole (BH) $M_{rm BH}$, the dark matter halo mass $M_{rm h}$, and the stellar-to-halo mass fraction $f_starpropto M_star/M_{rm h}$ in a sample of $55$ nearby galaxies with dynamically measured $M_{rm BH}>10^6,{rm M}_odot$ and $M_{rm h}>5times10^{11},{rm M}_odot$. The main improvement with respect to previous studies is that we consider both early- and late-type systems for which $M_{rm h}$ is determined either from globular cluster dynamics or from spatially resolved rotation curves. Independently of their structural properties, galaxies in our sample build a well defined sequence in the $M_{rm BH}$-$M_{rm h}$-$f_star$ space. We find that: (i) $M_{rm h}$ and $M_{rm BH}$ strongly correlate with each other and anti-correlate with $f_star$; (ii) there is a break in the slope of the $M_{rm BH}$-$M_{rm h}$ relation at $M_{rm h}$ of $10^{12},{rm M}_odot$, and in the $f_star$-$M_{rm BH}$ relation at $M_{rm BH}$ of $sim10^7!-!10^8,{rm M}_odot$; (iii) at a fixed $M_{rm BH}$, galaxies with a larger $f_star$ tend to occupy lighter halos and to have later morphological types. We show that the observed trends can be reproduced by a simple equilibrium model in the $Lambda$CDM framework where galaxies smoothly accrete dark and baryonic matter at a cosmological rate, having their stellar and black hole build-up regulated both by the cooling of the available gas reservoir and by the negative feedback from star formation and active galactic nuclei (AGN). Feature (ii) arises as the BH population transits from a rapidly accreting phase to a more gentle and self-regulated growth, while scatter in the AGN feedback efficiency can account for feature (iii).
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