Nonlocal metric formulations of MOND with sufficient lensing

Details Nonlocal metric formulations of MOND with sufficient lensing Nonlocal metric formulations of MOND with sufficient lensing

2011-06-24

arxiv.org/abs/1106.4984v2

Phys.Rev.D84:124054,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, uses Revtex4, revised for publication

Scientific paper

10.1103/PhysRevD.84.124054

We demonstrate how to construct purely metric modifications of gravity which agree with general relativity in the weak field regime appropriate to the solar system, but which possess an ultra-weak field regime when the gravitational acceleration becomes comparable to $a_0 \sim 10^{-10} {\rm m/s}^2$. In this ultra-weak field regime, the models reproduce the MOND force without dark matter and also give enough gravitational lensing to be consistent with existing data. Our models are nonlocal and might conceivably derive from quantum corrections to the effective field equations.

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