English

Jeans analysis in modified gravity

Astrophysics of Galaxies 2014-09-24 v2

Abstract

MOdified Gravity (MOG) is a covariant modification of Einstein's general relativity. This theory is one of the current alternatives to dark matter models. We describe dynamics of collisionless self-gravitating systems in the context of MOG. By studying the weak field approximation of this theory, we derive the equations governing the dynamics of the self-gravitating systems. More specifically, we consider the Jeans instability for self-gravitating fluid and stellar systems, and derive new Jeans mass limit M~J\tilde{M}_J and wave-number k~J\tilde{k}_J. Furthermore, considering the gravitational instability in star forming regions, we show that MOG has not a significant difference with general relativity on this astrophysical scale. However, at larger scales such as intergalactic space MOG may lead to different galaxy and structure formation processes.

Keywords

Cite

@article{arxiv.1407.6431,
  title  = {Jeans analysis in modified gravity},
  author = {Mahmood Roshan and Shahram Abbassi},
  journal= {arXiv preprint arXiv:1407.6431},
  year   = {2014}
}
R2 v1 2026-06-22T05:11:44.133Z