The specific frequency and the globular cluster formation efficiency in Milgromian dynamics

preprint2013arXivOpen access

Abstract

Previous studies of globular cluster (GC) systems show that there appears to be a universal specific GC formation efficiency ηη which relates the total mass of GCs to the virial mass of host dark matter halos, MvirM_{vir} (Georgiev et al 2010, Spitler & Forbes2009). In this paper, the specific frequency, SNS_N, and specific GC formation efficiency, ηη, are derived as functions of MvirM_{vir} in Milgromian dynamics, i.e., in modified Newtonian dynamics (MOND). In Milgromian dynamics, for the galaxies with GCs, the mass of the GC system, MGCM_{GC}, is a two-component function of MvirM_{vir} instead of a simple linear relation. An observer in a Milgromian universe, who interprets this universe as being Newtonian/Einsteinian, will incorrectly infer a universal constant fraction between the mass of the GC system and a (false) dark matter halo of the baryonic galaxy. In contrast to a universal constant of ηη, in a Milgromian universe, for galaxies with $M_{vir} <= 10^{12}\msun$, ηη decreases with the increase of MvirM_{vir}, while for massive galaxies with $M_{vir}>10^{12}\msun$, ηη increases with the increase of MvirM_{vir}.

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