1994/12/20 by Harald H. Soleng
Physics and Astronomy · #Astronomy and Astrophysical Research #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.1007/bf02107935
published as Gen.Rel.Grav.27:367-378,1995 · 12 pages, REVTeX, no figures
arxiv created 1994/12/20 · openalex publication_date 1995/04/01 · arxiv updated 2010/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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.