Large Scale Structure in Bekenstein's Theory of Relativistic Modified Newtonian Dynamics
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 weakfield nonrelativistic 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 quintessence fields. 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.
 Publication:

Physical Review Letters
 Pub Date:
 January 2006
 DOI:
 10.1103/PhysRevLett.96.011301
 arXiv:
 arXiv:astroph/0505519
 Bibcode:
 2006PhRvL..96a1301S
 Keywords:

 98.80.Cq;
 98.65.Dx;
 98.70.Vc;
 Particletheory and fieldtheory models of the early Universe;
 Superclusters;
 largescale structure of the Universe;
 Background radiations;
 Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 typos corrected, matches published version (upto different figure placements!), no changes to the results