The evolution of the MBH-σ relation

Brant E Robertson, Lars Hernquist, Thomas J. Cox, Tiziana D I Matteo, Philip F. Hopkins, Paul Martini, Volker Springel

Research output: Contribution to journalArticle

207 Citations (Scopus)

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 M BH-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.

Original languageEnglish (US)
Pages (from-to)90-102
Number of pages13
JournalAstrophysical Journal
Volume641
Issue number1 I
DOIs
StatePublished - Apr 10 2006
Externally publishedYes

Fingerprint

merger
slopes
stellar mass
galactic mass
skewness
halos
dark matter
equation of state
equations of state
simulation
galaxies
formalism
gases
gas
normalisation

Keywords

  • Black hole physics
  • Galaxies: Evolution
  • Galaxies: Formation

ASJC Scopus subject areas

  • Space and Planetary Science

Cite this

Robertson, B. E., Hernquist, L., Cox, T. J., Matteo, T. D. I., Hopkins, P. F., Martini, P., & Springel, V. (2006). The evolution of the MBH-σ relation. Astrophysical Journal, 641(1 I), 90-102. https://doi.org/10.1086/500348

The evolution of the MBH-σ relation. / Robertson, Brant E; Hernquist, Lars; Cox, Thomas J.; Matteo, Tiziana D I; Hopkins, Philip F.; Martini, Paul; Springel, Volker.

In: Astrophysical Journal, Vol. 641, No. 1 I, 10.04.2006, p. 90-102.

Research output: Contribution to journalArticle

Robertson, BE, Hernquist, L, Cox, TJ, Matteo, TDI, Hopkins, PF, Martini, P & Springel, V 2006, 'The evolution of the MBH-σ relation', Astrophysical Journal, vol. 641, no. 1 I, pp. 90-102. https://doi.org/10.1086/500348
Robertson BE, Hernquist L, Cox TJ, Matteo TDI, Hopkins PF, Martini P et al. The evolution of the MBH-σ relation. Astrophysical Journal. 2006 Apr 10;641(1 I):90-102. https://doi.org/10.1086/500348
Robertson, Brant E ; Hernquist, Lars ; Cox, Thomas J. ; Matteo, Tiziana D I ; Hopkins, Philip F. ; Martini, Paul ; Springel, Volker. / The evolution of the MBH-σ relation. In: Astrophysical Journal. 2006 ; Vol. 641, No. 1 I. pp. 90-102.
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