General Relativity and Gravitation

, Volume 27, Issue 4, pp 367–378

Dark matter and non-newtonian gravity from general relativity coupled to a fluid of strings

  • Harald H. Soleng

DOI: 10.1007/BF02107935

Cite this article as:
Soleng, H.H. Gen Relat Gravit (1995) 27: 367. doi:10.1007/BF02107935


An exact solution of Einstein's field equations for a point mass surrounded by a static, spherically symmetric fluid of strings is presented. The solution is singular at the origin. Near the string cloud limit there is a 1/r correction to Newton's force law. It is noted that at large distances and small accelerations, this law coincides with the phenomenological force law invented by Milgrom in order to explain the flat rotation curves of galaxies without introducing dark matter. When interpreted in the context of a cosmological model with a string fluid, the new solution naturally explains why the critical acceleration of Milgrom is of the same order of magnitude as the Hubble parameter.

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Harald H. Soleng
    • 1
  1. 1.NORDITACopenhagen ØDenmark
  2. 2.Theory DivisionCERNGeneva 23Switzerland

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