# Brane f(R) gravity cosmologies

## Abstract

By the application of the generalized Israel junction conditions we derive cosmological equations for the fourth-order f(R) brane gravity and study their cosmological solutions. We show that there exists a nonstatic solution which describes a four-dimensional de Sitter (dS{sub 4}) brane embedded in a five-dimensional anti-de Sitter (AdS{sub 5}) bulk for a vanishing Weyl tensor contribution. On the other hand, for the case of a nonvanishing Weyl tensor contribution, there exists a static brane solution only. We claim that in order to get some more general nonstatic f(R) brane configurations, one needs to admit a dynamical matter energy-momentum tensor in the bulk rather than just a bulk cosmological constant.

- Authors:

- Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin (Poland)

- Publication Date:

- OSTI Identifier:
- 21408060

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 81; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.81.123527; (c) 2010 The American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANTI DE SITTER SPACE; CONFIGURATION; COSMOLOGICAL CONSTANT; COSMOLOGICAL MODELS; COSMOLOGY; DE SITTER SPACE; ENERGY-MOMENTUM TENSOR; EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; GRAVITATION; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; MATTER; MATHEMATICAL MODELS; MATHEMATICAL SPACE; SPACE; TENSORS

### Citation Formats

```
Balcerzak, Adam, and DaPbrowski, Mariusz P.
```*Brane f(R) gravity cosmologies*. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVD.81.123527.

```
Balcerzak, Adam, & DaPbrowski, Mariusz P.
```*Brane f(R) gravity cosmologies*. United States. doi:10.1103/PHYSREVD.81.123527.

```
Balcerzak, Adam, and DaPbrowski, Mariusz P. Tue .
"Brane f(R) gravity cosmologies". United States. doi:10.1103/PHYSREVD.81.123527.
```

```
@article{osti_21408060,
```

title = {Brane f(R) gravity cosmologies},

author = {Balcerzak, Adam and DaPbrowski, Mariusz P.},

abstractNote = {By the application of the generalized Israel junction conditions we derive cosmological equations for the fourth-order f(R) brane gravity and study their cosmological solutions. We show that there exists a nonstatic solution which describes a four-dimensional de Sitter (dS{sub 4}) brane embedded in a five-dimensional anti-de Sitter (AdS{sub 5}) bulk for a vanishing Weyl tensor contribution. On the other hand, for the case of a nonvanishing Weyl tensor contribution, there exists a static brane solution only. We claim that in order to get some more general nonstatic f(R) brane configurations, one needs to admit a dynamical matter energy-momentum tensor in the bulk rather than just a bulk cosmological constant.},

doi = {10.1103/PHYSREVD.81.123527},

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

number = 12,

volume = 81,

place = {United States},

year = {Tue Jun 15 00:00:00 EDT 2010},

month = {Tue Jun 15 00:00:00 EDT 2010}

}

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