Bibcode
Peralta de Arriba, L.; Balcells, M.; Falcón-Barroso, J.; Trujillo, I.
Referencia bibliográfica
Monthly Notices of the Royal Astronomical Society, Volume 440, Issue 2, p.1634-1648
Fecha de publicación:
3
2014
Número de citas
20
Número de citas referidas
20
Descripción
For many massive compact galaxies, their dynamical masses
(Mdyn ∝ σ2re) are lower than
their stellar masses (M⋆). We analyse the unphysical
mass discrepancy M⋆/Mdyn > 1 on a
stellar-mass-selected sample of early-type galaxies (M⋆
≳ 1011 M⊙) at redshifts z ˜ 0.2 to
z ˜ 1.1. We build stacked spectra for bins of redshift, size and
stellar mass, obtain velocity dispersions, and infer dynamical masses
using the virial relation M_dyn≡ K σ _e^2 r_e/ G with K =
5.0; this assumes homology between our galaxies and nearby massive
ellipticals. Our sample is completed using literature data, including
individual objects up to z ˜ 2.5 and a large local reference
sample from the Sloan Digital Sky Survey (SDSS). We find that, at all
redshifts, the discrepancy between M⋆ and
Mdyn grows as galaxies depart from the present-day relation
between stellar mass and size: the more compact a galaxy, the larger its
M⋆/Mdyn. Current uncertainties in stellar
masses cannot account for values of M⋆/Mdyn
above 1. Our results suggest that the homology hypothesis contained in
the Mdyn formula above breaks down for compact galaxies. We
provide an approximation to the virial coefficient K ˜
6.0[re/(3.185
kpc)]-0.81[M⋆/(1011
M⊙)]0.45, which solves the mass discrepancy
problem. A rough approximation to the dynamical mass is given by
Mdyn ˜ [σe/(200 km
s-1)]3.6[re/(3 kpc)]0.352.1
× 1011 M⊙.
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