# Gauss-Bonnet gravity, brane world models, and nonminimal coupling

## Abstract

We study the case of brane world models with an additional Gauss-Bonnet term in the presence of a bulk scalar field which interacts nonminimally with gravity, via a possible interaction term of the form -(1/2){xi}R{phi}{sup 2}. The Einstein equations and the junction conditions on the brane are formulated, in the case of the bulk scalar field. Static solutions of this model are obtained by solving numerically the Einstein equations with the appropriate boundary conditions on the brane. Finally, we present graphically and comment these solutions for several values of the free parameters of the model.

- Authors:

- Department of Physics, National Technical University of Athens Zografou Campus, 157 80 Athens (Greece)

- Publication Date:

- OSTI Identifier:
- 20935234

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.024018; (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; BOUNDARY CONDITIONS; BRANES; EINSTEIN FIELD EQUATIONS; GRAVITATION; M-THEORY; MATHEMATICAL SOLUTIONS; SCALAR FIELDS

### Citation Formats

```
Farakos, K., and Pasipoularides, P.
```*Gauss-Bonnet gravity, brane world models, and nonminimal coupling*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.024018.

```
Farakos, K., & Pasipoularides, P.
```*Gauss-Bonnet gravity, brane world models, and nonminimal coupling*. United States. doi:10.1103/PHYSREVD.75.024018.

```
Farakos, K., and Pasipoularides, P. Mon .
"Gauss-Bonnet gravity, brane world models, and nonminimal coupling". United States.
doi:10.1103/PHYSREVD.75.024018.
```

```
@article{osti_20935234,
```

title = {Gauss-Bonnet gravity, brane world models, and nonminimal coupling},

author = {Farakos, K. and Pasipoularides, P.},

abstractNote = {We study the case of brane world models with an additional Gauss-Bonnet term in the presence of a bulk scalar field which interacts nonminimally with gravity, via a possible interaction term of the form -(1/2){xi}R{phi}{sup 2}. The Einstein equations and the junction conditions on the brane are formulated, in the case of the bulk scalar field. Static solutions of this model are obtained by solving numerically the Einstein equations with the appropriate boundary conditions on the brane. Finally, we present graphically and comment these solutions for several values of the free parameters of the model.},

doi = {10.1103/PHYSREVD.75.024018},

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

number = 2,

volume = 75,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}

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