For refcode 2007ApJ...655...77G: Retrieve 30 NED objects in this reference. Please click here for ADS abstract
NED Abstract
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2007ApJ...655...77G
A LogQuadratic Relation for Predicting Supermassive Black Hole Masses
from the Host Bulge Sersic Index
Alister W. Graham and Simon P. Driver
Abstract. We reinvestigate the correlation between black hole mass and
bulge concentration. With an increased galaxy sample (totaling 27) and
updated estimates of galaxy distances, black hole masses, and Sersic
indices n  a measure of concentration  we perform a leastsquares
regression analysis to obtain a relation suitable for the purpose of
predicting black hole masses in other galaxies. In addition to the
linear relation, log M_bh_=(7.81+/0.08)+(2.69+/0.28) log (n/3) with
{epsilon}_intrinsic_=0.31^+0.09^_0.07_ dex, we investigated the
possibility of a higher order M_bh_n relation, finding the secondorder
term in the bestfitting quadratic relation to be inconsistent with a
value of zero at greater than the 99.99% confidence level. The optimal
relation is given by log M_bh_=(7.98+/0.09)+(3.70+/0.46) log
(n/3)(3.10+/0.84)[ log (n/3)]^2^, with
{epsilon}_intrinsic_=0.18^+0.07^_0.06_ dex and a total absolute scatter
of 0.31 dex. When the quadratic relation is extrapolated, it predicts
black holes with masses of ~10^3^ M_sun_ in n=0.5 dwarf elliptical
galaxies, compared to ~10^5^ M_sun_ from the linear relation, and an
upper bound on the largest black hole masses in the local universe equal
to 1.2^+2.6^_0.4_x10^9^M_sun_. In addition, we show that the nuclear
star clusters at the centers of lowluminosity elliptical galaxies
follow an extrapolation of the same quadratic relation, strengthening
suggestions for a possible evolutionary link between supermassive black
holes and nuclear star clusters. Moreover, we speculate that the merger
of two such nucleated galaxies, accompanied by the merger and runaway
collision of their central star clusters, could result in the latetime
formation of some supermassive black holes. Finally, we predict the
existence of, and provide equations for, an M_bh_{mu}_0_ relation, in
which {mu}_0_ is the (extrapolated) central surface brightness of a
bulge.
Key words: Black Hole Physics, Galaxies: Bulges, Galaxies: Fundamental
Parameters, Galaxies: Structure
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