### Abstract

We investigate the creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field: , where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes the Randall-Sundrum model (β = 0) and the five-dimensional effective model of the Horva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when the curvature of a brane vanishes, that is, the brane is flat. We construct an instanton with two branes and a singular instanton with a single brane. The Euclidean action of the singular instanton solution is finite if β ^{2}>2/3. We also calculate perturbations of the action around a singular instanton solution in order to show that the singular instanton is well defined.

Original language | English |
---|---|

Article number | 012 |

Journal | Journal of Cosmology and Astroparticle Physics |

Issue number | 3 |

DOIs | |

Publication status | Published - 2006 Mar 1 |

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### Keywords

- Cosmological phase transitions string theory and cosmology
- Cosmology with extra dimensions
- Gravity

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of Cosmology and Astroparticle Physics*, (3), [012]. https://doi.org/10.1088/1475-7516/2006/03/012

**Creation of a brane world with a bulk scalar field.** / Aoyanagi, Koh Suke; Maeda, Keiichi.

Research output: Contribution to journal › Article

*Journal of Cosmology and Astroparticle Physics*, no. 3, 012. https://doi.org/10.1088/1475-7516/2006/03/012

}

TY - JOUR

T1 - Creation of a brane world with a bulk scalar field

AU - Aoyanagi, Koh Suke

AU - Maeda, Keiichi

PY - 2006/3/1

Y1 - 2006/3/1

N2 - We investigate the creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field: , where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes the Randall-Sundrum model (β = 0) and the five-dimensional effective model of the Horva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when the curvature of a brane vanishes, that is, the brane is flat. We construct an instanton with two branes and a singular instanton with a single brane. The Euclidean action of the singular instanton solution is finite if β 2>2/3. We also calculate perturbations of the action around a singular instanton solution in order to show that the singular instanton is well defined.

AB - We investigate the creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field: , where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes the Randall-Sundrum model (β = 0) and the five-dimensional effective model of the Horva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when the curvature of a brane vanishes, that is, the brane is flat. We construct an instanton with two branes and a singular instanton with a single brane. The Euclidean action of the singular instanton solution is finite if β 2>2/3. We also calculate perturbations of the action around a singular instanton solution in order to show that the singular instanton is well defined.

KW - Cosmological phase transitions string theory and cosmology

KW - Cosmology with extra dimensions

KW - Gravity

UR - http://www.scopus.com/inward/record.url?scp=84856375967&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856375967&partnerID=8YFLogxK

U2 - 10.1088/1475-7516/2006/03/012

DO - 10.1088/1475-7516/2006/03/012

M3 - Article

AN - SCOPUS:84856375967

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

SN - 1475-7516

IS - 3

M1 - 012

ER -