Dark matter and non-Newtonian gravity from General Relativity coupled to a fluid of strings

Details Dark matter and non-Newtonian gravity from General Relativity coupled to a fluid of strings Dark matter and non-Newtonian gravity from General Relativity coupled to a fluid of strings

1994-12-20

arxiv.org/abs/gr-qc/9412053v1

Gen.Rel.Grav.27:367-378,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, REVTeX, no figures

Scientific paper

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.

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