Modified Newtonian Dynamics as an extra dimensional effect

Abstract

Modified Newtonian dynamics can be considered as an effect derived from a squeezable extra dimension space. The third law of Newtonian dynamics can be managed to remain valid in the 5-space. The critical acceleration parameter $a_0$ appears naturally as the bulk acceleration that has to do with the expanding universe in this setup. A simple toy model is presented in this Letter to show that consistent theory can be built with the help of the extra dimensional space.

4 pages, 1 figure

References in corpus (9)

• Relativistic gravitation theory for the MOND paradigm
• Modified Newtonian Dynamics in the Milky Way
• Can the galactic rotation curves be explained in brane world models?
• A tensor-vector-scalar framework for modified dynamics and cosmic dark matter
• Refining MOND interpolating function and TeVeS Lagrangian
• MOND habitats within the solar system
• Spherically symmetric, static spacetimes in a tensor-vector-scalar theory
• Modified Newtonian Dynamics In Dimensionless Form
• Modified Newtonian Dynamics and Induced gravity