English

Structure Formation in Nonlocal MOND

General Relativity and Quantum Cosmology 2018-05-22 v2 High Energy Physics - Theory

Abstract

We consider structure formation in a nonlocal, metric-based realization of Milgrom's MOdified Newtonian Dynamics (MOND). We derive the general equations for linearized scalar perturbations about the Λ\LambdaCDM expansion history. These equations are considerably simplified for sub-horizon modes, and it becomes obvious (in this model) that the MOND enhancement is not sufficient to allow ordinary matter to drive structure formation. We discuss ways in which the model might be changed to correct the problem.

Keywords

Cite

@article{arxiv.1804.01669,
  title  = {Structure Formation in Nonlocal MOND},
  author = {L. Tan and R. P. Woodard},
  journal= {arXiv preprint arXiv:1804.01669},
  year   = {2018}
}

Comments

26 pages, 4 figures, uses LaTeX 2e, Version 2 revised for publication with some errors corrected and new references

R2 v1 2026-06-23T01:14:24.567Z