## Abstract

We consider 5-dimensional cosmological solutions of a single brane. The correct cosmology on the brane, i.e., governed by the standard 4-dimensional Priedmann equation, and stable compactification of the extra dimension is guaranteed by the existence of a nonvanishing T_{5}^{5} which is proportional to the 4-dimensional trace of the energy-momentum tensor. We show that this component of the energy-momentum tensor arises from the backreaction of the dilaton coupling to the brane. The same positive features are exhibited in solutions found in the presence of non-vanishing cosmological constants both on the brane (Λ_{br}) and in the bulk (Λ_{B}). Moreover, the restoration of the Friedmann equation, with the correct sign, takes place for both signs of Ag so long as the sign of Λ_{br} is opposite Λ_{B} in order to cancel the energy densities of the two cosmological constants. We further extend our single-brane thin-wall solution to allow a brane with finite thickness.

Original language | English (US) |
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Title of host publication | From Fields to Strings |

Subtitle of host publication | Circumnavigating Theoretical Physics: Ian Kogan Memorial Collection |

Publisher | World Scientific Publishing Co. |

Pages | 2246-2273 |

Number of pages | 28 |

Volume | 1 |

ISBN (Electronic) | 9789812775344 |

ISBN (Print) | 9789812389558 |

DOIs | |

State | Published - Jan 1 2005 |

### Bibliographical note

Publisher Copyright:© 2005 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.