A Simplified Treatment of Gravitational Interaction on Galactic Scales
Abstract
I present a simple scheme for the treatment of gravitational interactions on galactic scales. In analogy with known mechanisms of quantum field theory, I assume ad hoc that gravitation is mediated by virtual exchange particles  gravitons  with very small but nonzero masses. The resulting density and mass profiles are proportional to the mass of the gravitating body. The mass profile scales with the centripetal acceleration experienced by a test particle orbiting the central mass, but this comes at the cost of postulating a universal characteristic acceleration ao≈4.3×10^{12} m sec^{2} (or 8πao≈1.1×10^{10} m sec^{2}). The scheme predicts the asymptotic flattening of galactic rotation curves, the TullyFisher/FaberJackson relations, the mass discrepancyacceleration relation of galaxies, the surface brightnessacceleration relation of galaxies, the kinematics of galaxy clusters, and ``Renzo's rule'' correctly; additional (dark) mass components are not required. Given that it is based on various adhoc assumptions and given further limitations, the scheme I present is not yet a consistent theory of gravitation; rather, it is a ``toy model'' providing a convenient scaling law that simplifies the description of gravity on galactic scales.
 Publication:

Journal of Korean Astronomical Society
 Pub Date:
 February 2013
 DOI:
 10.5303/JKAS.2013.46.1.041
 arXiv:
 arXiv:1211.4692
 Bibcode:
 2013JKAS...46...41T
 Keywords:

 Gravitation;
 Galaxies: kinematics and dynamics;
 Astrophysics  Astrophysics of Galaxies;
 High Energy Physics  Phenomenology
 EPrint:
 7 pages, 1 figure