# Some cosmological consequences of Weyl invariance

## Abstract

We examine some Weyl invariant cosmological models in the framework of generalized dilaton gravity, in which the action is made of a set of N conformally coupled scalar fields. It will be shown that when the FRW ansatz for the spacetime metric is assumed, the Ward identity for conformal invariance guarantees that the gravitational equations hold whenever the scalar fields EM do so. It follows that any scale factor can solve the theory provided a non-trivial profile for a dilaton field. In particular, accelerated expansion is a natural solution to the full set of equations.

- Authors:

- Departamento de Física Teórica and Instituto de Física Teórica, IFT-UAM/CSIC, Universidad Autónoma, 20849 Madrid (Spain)

- Publication Date:

- Sponsoring Org.:
- SCOAP3, CERN, Geneva (Switzerland)

- OSTI Identifier:
- 22454529

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 03; Other Information: PUBLISHER-ID: JCAP03(2015)035; OAI: oai:repo.scoap3.org:9640; Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONFORMAL INVARIANCE; COSMOLOGICAL MODELS; GRAVITATION; MATHEMATICAL SOLUTIONS; SCALAR FIELDS; SPACE-TIME; WARD IDENTITY; WEYL UNIFIED THEORY

### Citation Formats

```
Alvarez, Enrique, González-Martín, Sergio, and Herrero-Valea, Mario.
```*Some cosmological consequences of Weyl invariance*. United States: N. p., 2015.
Web. doi:10.1088/1475-7516/2015/03/035.

```
Alvarez, Enrique, González-Martín, Sergio, & Herrero-Valea, Mario.
```*Some cosmological consequences of Weyl invariance*. United States. doi:10.1088/1475-7516/2015/03/035.

```
Alvarez, Enrique, González-Martín, Sergio, and Herrero-Valea, Mario. Thu .
"Some cosmological consequences of Weyl invariance". United States.
doi:10.1088/1475-7516/2015/03/035.
```

```
@article{osti_22454529,
```

title = {Some cosmological consequences of Weyl invariance},

author = {Alvarez, Enrique and González-Martín, Sergio and Herrero-Valea, Mario},

abstractNote = {We examine some Weyl invariant cosmological models in the framework of generalized dilaton gravity, in which the action is made of a set of N conformally coupled scalar fields. It will be shown that when the FRW ansatz for the spacetime metric is assumed, the Ward identity for conformal invariance guarantees that the gravitational equations hold whenever the scalar fields EM do so. It follows that any scale factor can solve the theory provided a non-trivial profile for a dilaton field. In particular, accelerated expansion is a natural solution to the full set of equations.},

doi = {10.1088/1475-7516/2015/03/035},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 03,

volume = 2015,

place = {United States},

year = {Thu Mar 19 00:00:00 EDT 2015},

month = {Thu Mar 19 00:00:00 EDT 2015}

}

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