### Abstract

We study cosmological perturbations in the brane models with an induced Einstein- Hilbert term on a brane. We consider an inflaton confined to a de Sitter brane in a five-dimensional Minkowski spacetime. There are two branches (± branches) of solutions for the background spacetime. In the + branch, which includes the selfaccelerating universe, a resonance appears. In the - branch, which can be thought as the Randall-Sundrum type brane-world with the high energy quantum corrections, there is no resonance. At high energies, we analytically confirm that four-dimensional Einstein gravity is recovered, which is related to the disappearance of van Dam- Veltman-Zakharov discontinuity in de Sitter spacetime. On sufficiently small scales, we confirm that the lineariaed gravity on the brane is well described by the Brans- Dicke theory with ω = 3Hr^{c} in - branch and ω = -3Hr^{c} in + branch, respectively, which confirms the existence of the ghost in + branch.

Original language | English |
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Title of host publication | Proceedings of the 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 |

Pages | 188-191 |

Number of pages | 4 |

Publication status | Published - 2006 |

Externally published | Yes |

Event | 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 - Niigata Duration: 2006 Nov 27 → 2006 Dec 1 |

### Other

Other | 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 |
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City | Niigata |

Period | 06/11/27 → 06/12/1 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006*(pp. 188-191)