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Title: Tensor-vector-scalar cosmology: Covariant formalism for the background evolution and linear perturbation theory

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, nonrelativistic 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 appendixes.

Authors:
 [1]
  1. Astrophysics, University of Oxford, Keble Road, Oxford OX1 3RH, United Kingdom and Perimeter Institute, Waterloo, Ontario N2L 2Y5 (Canada)
Publication Date:
OSTI Identifier:
20864100
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 74; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.74.103513; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; DISTURBANCES; FIELD EQUATIONS; GALAXIES; GRAVITATION; MISSING MASS; NONLUMINOUS MATTER; PERTURBATION THEORY; QUANTUM FIELD THEORY; RELATIVISTIC RANGE; SCALAR FIELDS; TENSOR FIELDS; VECTOR FIELDS

Citation Formats

Skordis, Constantinos. Tensor-vector-scalar cosmology: Covariant formalism for the background evolution and linear perturbation theory. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.74.103513.
Skordis, Constantinos. Tensor-vector-scalar cosmology: Covariant formalism for the background evolution and linear perturbation theory. United States. doi:10.1103/PHYSREVD.74.103513.
Skordis, Constantinos. Wed . "Tensor-vector-scalar cosmology: Covariant formalism for the background evolution and linear perturbation theory". United States. doi:10.1103/PHYSREVD.74.103513.
@article{osti_20864100,
title = {Tensor-vector-scalar cosmology: Covariant formalism for the background evolution and linear perturbation theory},
author = {Skordis, Constantinos},
abstractNote = {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, nonrelativistic 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 appendixes.},
doi = {10.1103/PHYSREVD.74.103513},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 74,
place = {United States},
year = {Wed Nov 15 00:00:00 EST 2006},
month = {Wed Nov 15 00:00:00 EST 2006}
}