Large scale structure in Bekenstein's theory of relativistic MOND

2005/05/26 by C. Skordis, Constantinos Skordis, D. F. Mota +6 · 1 voice · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Particle physics theoretical and experimental studies #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.96.011301

published as Phys.Rev.Lett.96:011301,2006 · typos corrected, matches published version (upto different figure placements!), no changes to the results

openalex publication_date 2005/05/26 · arxiv created 2006/02/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/21

Abstract

A relativistic theory of modified gravity has been recently proposed by Bekenstein. The tensor field in Einstein's theory of gravity is replaced by a scalar, a vector, and a tensor field which interact in such a way to give Modified Newtonian Dynamics (MOND) in the weak-field non-relativistic limit. We study the evolution of the universe in such a theory, identifying its key properties and comparing it with the standard cosmology obtained in Einstein gravity. The evolution of the scalar field is akin to that of tracker fields in quintessence models. We expand the theory to linear order to find the evolution of perturbations on large scales. The impact on galaxy distributions and the cosmic microwave background is calculated in detail. We show that it may be possible to reproduce observations of the cosmic microwave background and galaxy distributions with Bekenstein's theory of MOND.

Citations

• Cosmic Microwave Background Constraints on a Baryonic Dark Matter–dominated Universe
• A modification of the Newtonian dynamics - Implications for galaxies
• A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
• First results from the Very Small Array -- III. The cosmic microwave background power spectrum
• Cosmological consequences of a rolling homogeneous scalar field
• A Modification of the Newtonian Dynamics - Implications for Galaxy Systems

Cited by

• f(R)theories of gravity
• Dark matter [wikipedia]

Discussions

• Without dark matter, you expect the peaks to decline uniformly. This was literally predicted in modified-gravity models before the peaks were observed. https://arxiv.org/abs/astro-ph/0505519 [bsky, 0 points, 1 comments]