The discrepancy between dynamical and stellar masses in massive compact galaxies traces non-homology

Peralta de Arriba, L.; Balcells, M.; Falcón-Barroso, J.; Trujillo, I.
Bibliographical reference

Monthly Notices of the Royal Astronomical Society, Volume 440, Issue 2, p.1634-1648

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3
2014
Number of authors
4
IAC number of authors
4
Citations
20
Refereed citations
20
Description
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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