Field equations and cosmology for a class of nonlocal metric models of MOND

Autor:	Deffayet, Cedric, Esposito-Farese, Gilles, Woodard, Richard P.
Rok vydání:	2014
Předmět:	Astrophysics - Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.90.064038
Popis:	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. Comment: 15 pages, no figures, uses revtex4, dedicated to Stanley Deser on the occasion of his 83rd birthday
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1405.0393 Zobrazit plný text záznamu View this record from Arxiv