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Jeans analysis in modified gravity

Mahmood Roshan1,* and Shahram Abbassi1,2,3,†

  • 1Department of Physics, Ferdowsi University of Mashhad, P.O. Box 1436, Mashhad, Iran
  • 2School of Astronomy, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
  • 3Key Laboratory for Research in Galaxies and Cosmology, Shanghai Astronomical Observatory, Chinese Academy of Sciences, 80 Nandan Road, Shanghai 200030, China

  • *mroshan@um.ac.ir
  • †abbassi@um.ac.ir
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Phys. Rev. D 90, 044010 – Published 7 August, 2014

DOI: https://doi.org/10.1103/PhysRevD.90.044010

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 the 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 and wave-number 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.

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Phys. Rev. D 90, 044010– Published 7 August, 2014
  • Received 16 January 2014

© 2014 American Physical Society

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