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Title:
The Evolution of the MBH-σ Relation
Authors:
Robertson, Brant; Hernquist, Lars; Cox, Thomas J.; Di Matteo, Tiziana; Hopkins, Philip F.; Martini, Paul; Springel, Volker
Affiliation:
AA(Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138; .), AB(Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138; .), AC(Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138; .), AD(Department of Physics, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213.), AE(Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138; .), AF(Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138; .), AG(Max-Planck-Institut für Astrophysik, Karl-Schwarzschildstrasse 1, 85740 Garching bei München, Germany.)
Publication:
The Astrophysical Journal, Volume 641, Issue 1, pp. 90-102. (ApJ Homepage)
Publication Date:
04/2006
Origin:
UCP
ApJ Keywords:
Black Hole Physics, Galaxies: Evolution, Galaxies: Formation
DOI:
10.1086/500348
Bibliographic Code:
2006ApJ...641...90R

Abstract

We examine the evolution of the black hole mass-stellar velocity dispersion (MBH-σ) relation over cosmic time, using simulations of galaxy mergers that include feedback from supermassive black hole growth. For a range in redshifts z=0-6, we modify the virial mass, gas fraction, interstellar medium equation of state, surface mass density, and concentration of dark matter halos of the merger progenitors to match those expected at various cosmic times. We find that the slope of the MBH-σ relation is insensitive to the redshift-dependent properties of merger progenitors and should be roughly constant at redshifts z=0-6. For the same feedback efficiency that reproduces the observed amplitude of the MBH-σ relation at z=0, there is a weak redshift dependence to the normalization, corresponding to an evolution in the Faber-Jackson relation, which results from an increasing velocity dispersion for a given galactic stellar mass. We develop a formalism to connect redshift evolution in the MBH-σ relation to the scatter in the local relation at z=0. For an assumed model for the accumulation of black holes with different masses over cosmic time, we show that the scatter in the local relation places severe constraints on the redshift evolution of both the normalization and slope of the MBH-σ relation. Furthermore, we demonstrate that the cosmic downsizing of the black hole population introduces a black hole mass-dependent dispersion in the MBH-σ relation and that the skewness of the distribution about the locally observed MBH-σ relation is sensitive to redshift evolution in the normalization and slope. In agreement with existing constraints, our simulations imply that hierarchical structure formation should produce the relation with small intrinsic scatter, as the physical origin of the MBH-σ enjoys a remarkable resiliency to the redshift-dependent properties of merger progenitors.
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