# de Sitter space and the equivalence between f(R) and scalar-tensor gravity

## Abstract

It is shown that, when f{sup ''}{ne}0, metric f(R) gravity is completely equivalent to an {omega}=0 scalar-tensor theory with respect to perturbations of de Sitter space, contrary to previous expectations. Moreover, the stability conditions of de Sitter space with respect to homogeneous and inhomogeneous perturbations coincide in most scalar-tensor theories, as is the case in metric f(R) gravity.

- Authors:

- Physics Department, Bishop's University, Sherbrooke, Quebec, J1M 0C8 (Canada)

- Publication Date:

- OSTI Identifier:
- 21020217

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.067302; (c) 2007 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; ACCELERATION; COSMOLOGY; DISTURBANCES; GRAVITATION; METRICS; QUANTUM FIELD THEORY; SCALARS; STABILITY; TENSORS; TOPOLOGY

### Citation Formats

```
Faraoni, Valerio.
```*de Sitter space and the equivalence between f(R) and scalar-tensor gravity*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.067302.

```
Faraoni, Valerio.
```*de Sitter space and the equivalence between f(R) and scalar-tensor gravity*. United States. doi:10.1103/PHYSREVD.75.067302.

```
Faraoni, Valerio. Thu .
"de Sitter space and the equivalence between f(R) and scalar-tensor gravity". United States.
doi:10.1103/PHYSREVD.75.067302.
```

```
@article{osti_21020217,
```

title = {de Sitter space and the equivalence between f(R) and scalar-tensor gravity},

author = {Faraoni, Valerio},

abstractNote = {It is shown that, when f{sup ''}{ne}0, metric f(R) gravity is completely equivalent to an {omega}=0 scalar-tensor theory with respect to perturbations of de Sitter space, contrary to previous expectations. Moreover, the stability conditions of de Sitter space with respect to homogeneous and inhomogeneous perturbations coincide in most scalar-tensor theories, as is the case in metric f(R) gravity.},

doi = {10.1103/PHYSREVD.75.067302},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.