The Universal Faber-Jackson Relation

Abstract

In the context of modified Newtonian dynamics, the fundamental plane, as the observational signature of the Newtonian virial theorem, is defined by high surface brightness objects that deviate from being purely isothermal: the line-of-sight velocity dispersion should slowly decline with radius as observed in luminous elliptical galaxies. All high surface brightness objects (e.g. globular clusters, ultra-compact dwarfs) will lie, more or less, on the fundamental plane defined by elliptical galaxies, but low surface brightness objects (dwarf spheroidals) would be expected to deviate from this relation. This is borne out by observations. With MOND, the Faber-Jackson relation (the power-law relation between luminosity and velocity dispersion), ranging from globular clusters to clusters of galaxies and including both high and low surface brightness objects, is the more fundamental and universal scaling relation in spite of its larger scatter. Faber-Jackson reflects the presence of an additional dimensional constant (the MOND acceleration) in the structure equation.

7 pages, 7 figures, revised in response to referee's report, error corrected in Fig. 5, two additional figures, conclusions unchanged. Accepted MNRAS

References in corpus (5)

• The Nature of UCDs: Internal Dynamics from an Expanded Sample and Homogeneous Database
• A More Fundamental Plane
• Rings and shells of "dark matter" as MOND artifacts
• Forming Galaxies with MOND
• MOND and the lensing Fundamental Plane: No need for dark matter on galaxy scales

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