Field equations and cosmology for a class of nonlocal metric models of MOND
arXiv:1405.0393 · doi:10.1103/PhysRevD.90.064038
Abstract
We consider a class of nonlocal, pure-metric modified gravity models which were developed to reproduce the Tully-Fisher relation without dark matter and without changing the amount of weak lensing predicted by general relativity. Previous work gave only the weak field limiting form of the field equations specialized to a static and spherically symmetric geometry. Here we derive the full field equations and specialize them to a homogeneous, isotropic and spatially flat geometry. We also discuss the problem of fitting the free function to reproduce the expansion history. Results are derived for models in which the MOND acceleration a_0 ~ 1.2 x 10^{-10} m/s^{2} is a fundamental constant and for the more phenomenologically interesting case in which the MOND acceleration changes with the cosmological expansion rate.
15 pages, no figures, uses revtex4, dedicated to Stanley Deser on the occasion of his 83rd birthday
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Cited by in corpus (13)
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- Aspects of Nonlocality in Quantum Field Theory, Quantum Gravity and Cosmology
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- Nonlocal Metric Realizations of MOND
- Determining Cosmology for a Nonlocal Realization of MOND
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