TeVeS Cosmology : Covariant formalism for the background evolution and linear perturbation theory

Details TeVeS Cosmology : Covariant formalism for the background evolution and linear perturbation theory TeVeS Cosmology : Covariant formalism for the background evolution and linear perturbation theory

2005-11-19

arxiv.org/abs/astro-ph/0511591v1

Phys.Rev.D74:103513,2006

Astronomy and Astrophysics

Astrophysics

33 pages, no figures, submitted to PRD

Scientific paper

10.1103/PhysRevD.74.103513

A relativistic theory of gravity has recently been proposed by Bekenstein, where gravity is mediated by a tensor, a vector and a scalar field, thus called TeVeS. The theory aims at modifying gravity in such a way as to reproduce Milgrom's MOdified Newtonian Dynamics (MOND) in the weak field, non-relativistic limit, which provides a framework to solve the missing mass problem in galaxies without invoking dark matter. In this paper I apply a covariant approach to formulate the cosmological equations for this theory, for both the background and linear perturbations. I derive the necessary perturbed equations for scalar, vector and tensor modes without adhering to a particular gauge. Special gauges are considered in the appendix.

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