# 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:

- 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}

}