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

Journal Article · Sat Apr 01 00:00:00 EST 1995 · General Relativity and Gravitation

DOI:https://doi.org/10.1007/BF02107935· OSTI ID:56870

Soleng, H H ^[1]

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1. NORDITA, Copenhagen (Denmark)

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.

• OSTI ID: 56870
• Journal Information: General Relativity and Gravitation, Vol. 27, Issue 4; Other Information: PBD: Apr 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
EINSTEIN FIELD EQUATIONS
ANALYTICAL SOLUTION
GALAXIES
NONLUMINOUS MATTER
COSMOLOGICAL MODELS
STRING MODELS
HUBBLE EFFECT
GENERAL RELATIVITY THEORY