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

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arxiv gr-qc/9412053 v1 pith:W5UZ36YG submitted 1994-12-20 gr-qc

Harald H. Soleng This is my paper · ORCID
classification gr-qc
keywords fluidsolutiondarkforcemattermilgromorderstring
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Regularized Black Hole Solution from a New String Cloud Source

    gr-qc 2025-11 conditional novelty 6.0 of 10

    A regular black hole spacetime sourced by a Letelier-Alencar string cloud with a rational Dagum regulator has an AdS core, finite curvature, and EHT-compatible shadows.

  2. Regular fluid of strings black hole with non trivial core and asymptotic structure by gravitational decoupling

    gr-qc 2026-08 conditional novelty 5.0 of 10

    A cloud-of-strings black hole can be made regular by screening both the mass and string terms with a Hayward-type factor, resulting in a deformed core and modified thermodynamic and quasinormal-mode behavior.

  3. Reissner Nordstrom black holes with integrable singularity interiors supported by string distributions

    gr-qc 2026-02 reject novelty 4.0 of 10

    A fluid-of-strings cloud is proposed as an integrable-singularity interior for the Reissner–Nordström exterior, but the field equations for the new model do not close.

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