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

Constantinos Skordis
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Abstract

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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Constantinos Skordis. 2005-11-19. TeVeS Cosmology : Covariant formalism for the background evolution and linear perturbation theory. https://doi.org/10.1103/physrevd.74.103513

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