Re. II. Understanding (IC 3475)-type galaxy, aka ultra-diffuse galaxy, structural scaling relations

Authors: Alister W. Graham

Abstract:

It is explained why ultra-diffuse galaxies (UDGs), a subset of (IC 3475)-type galaxies, do not have unexpectedly large sizes but large sizes that are in line with expectations from the curved size-luminosity relation defined by brighter early-type galaxies (ETGs). UDGs extend the faint end of the (absolute magnitude, M)-log(Sérsic index, n) and M-(central surface brightness, μ0) relations defined by brighter ETGs, leading to the large effective half-light radii, Re, in UDGs. It is detailed how the scatter in μ0, at a given M, relates to variations in the galaxies' values of n and effective surface brightness, μe. These variations map into changes in Re and produce the scatter about the M-Re relation at fixed M. Similarly, the scatter in M, at fixed μ0 and n, can be mapped into changes in Re. The increased scatter about the faint end of the M-Re relation and the smaller scatter about M-(isophotal radii, Riso) relations are explained. Artificial and potentially misleading size-luminosity relations for UDGs are also addressed. The suggestion that there may be two types of UDG appears ill-founded, arising from the scatter about the M0 relation, which persists at all magnitudes. Hopefully, the understanding presented here will prove helpful for interpreting the many low surface brightness galaxies that the Large Synoptic Survey Telescope will detect.