English

A New interpretation of MOND based on Mach principle and an Unruh like effect

Cosmology and Nongalactic Astrophysics 2015-05-14 v3 General Relativity and Quantum Cosmology

Abstract

A new interpretation is introduced for MOND based on the Sciama's interpretation of Mach principle and an Unruh like effect, in the context of a generalized equivalence principle. It is argued that in a locally accelerated frame with acceleration aa the appearance of a Rindler horizon may give rise to a constant acceleration a0a_0 as the local properties of cosmological horizon or Hubble length. The total gravitational acceleration inside this frame becomes the combination of aa with a0a_0. For aa0a\gg a_0, the conventional gravitational mass mgm_g interacts with the dominant acceleration as mgam_g a and application of Sciama's interpretation leads to the standard Newtonian dynamics. For aa0a\ll a_0, however, a reduced gravitational mass mˉg\bar{m}_g interacts with the dominant acceleration as mˉga0\bar{m}_g a_0 and the application of Sciama's interpretation on this reduced gravitational mass leads to MOND. This introduces a third proposal for MOND: {\it The modification of gravitational mass}.

Keywords

Cite

@article{arxiv.0908.4239,
  title  = {A New interpretation of MOND based on Mach principle and an Unruh like effect},
  author = {F. Darabi},
  journal= {arXiv preprint arXiv:0908.4239},
  year   = {2015}
}

Comments

11 pages, throughout revision