For refcode 2001NewA....6..249C: Retrieve 42 NED objects in this reference. Please click here for ADS abstract
NED Abstract
Reproduced by permission
2001NewA....6..249C
An elliptical galaxy luminosity function and velocity dispersion sample of
relevance for gravitational lensing statistics
YuChung N. Cheng1 and Lawrence M. Krauss
Received 26 August 1999; received in revised form 12 February 2001;
accepted 12 February 2001
Abstract
We have selected 42 elliptical galaxies from the literature and
estimated their velocity dispersions at the effective radius
({sigma}_R_e__) and at 0.54 effective radii ({sigma}_0.54R_e__). We find by
a dynamical analysis that the normalized velocity dispersion of the dark
halo of an elliptical galaxy {sigma}_DM_ is roughly {sigma}_R_e__
multiplied by a constant, which is almost independent of the core radius or
the anisotropy parameter of each galaxy. Our sample analysis suggests that
{sigma}_DM_^*^ lies in the range 178198 km s^1^. The power law relation
we find between the luminosity and the dark matter velocity dispersion
measured in this way is (L/L^*^)=({sigma}_DM_/{sigma}_DM_^*^)^{gamma}^,
where {gamma} is between 2 and 3. These results are of interest for strong
gravitational lensing statistics studies. In order to determine the value
of {sigma}_DM_^*^, we calculate M_B_T_(0}^*^ in the same B_T_(0) band in
which {sigma}_DM_^*^ has been estimated. We select 131 elliptical galaxies
as a complete sample set with apparent magnitudes B_T_(0) between 9.26 and
12.19. We find that the luminosity function is well fitted to the Schechter
form, with parameters M_B_T_(0)^*^ = 19.66+5 . log_10_h+/0.30,{alpha} =
0.15+/0.55, and the normalization constant {phi}^*^=(1.34+/0.30)x 10^
3^h^3^ Mpc^3^, with the Hubble constant H_0_=100 h km s^1^ Mp^1^. This
normalization implies that morphology type E galaxies make up (10.8 +/
1.2) per cent of all galaxies.
Keywords: Gravitational lensing; Galaxies: fundamental parameters;
Galaxies: halos; Galaxies: kinematics and dynamics; Galaxies: luminosity
function, mass function; Methods: statistical
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