Asymptotic kinematics of globular clusters: The emergence of a Tully-Fisher relation
Abstract
Using a recent homogeneous sample of 40 high-quality velocity dispersion profiles for Galactic globular clusters, we study the regime of low gravitational acceleration relevant to the outskirts of these systems. We find that a simple empirical profile having a central Gaussian component and a constant large-radius asymptote, σ∞, accurately describes the variety of observed velocity dispersion profiles. We use published population synthesis models, carefully tailored to each individual cluster, to estimate mass-to-light ratios from which total stellar masses, M, are inferred. We obtain a clear scaling, reminiscent of the galactic Tully-Fisher relation of σ _{∞}[ km s^{-1}]= 0.084^{+0.075}_{-0.040} ({M/M}_{⊙ })^{0.3 ± 0.051}, which is interesting to compare to the deep modified Newtonian dynamics (MOND) limit of σ _{∞} [km s^{-1}]=0.2({M/M}_{⊙ })^{0.25}. Under a Newtonian interpretation, our results constitute a further restriction on models where initial conditions are crafted to yield the outer flattening observed today. Within a modified gravity scheme, because the globular clusters studied are not isolated objects in the deep MOND regime, the results obtained point towards a modified gravity where the external field effect of MOND does not appear, or is significantly suppressed.
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- January 2020
- DOI:
- 10.1093/mnras/stz3038
- arXiv:
- arXiv:1909.04192
- Bibcode:
- 2020MNRAS.491..272H
- Keywords:
-
- gravitation;
- stars: kinematics and dynamics;
- globular clusters: general;
- Astrophysics - Astrophysics of Galaxies;
- General Relativity and Quantum Cosmology
- E-Print:
- 9 pages, 8 figures, 1 table. Revised version accepted for publication in MNRAS