## Abstract

We consider a D3-brane as boundary of a five-dimensional charged anti-de Sitter black hole. We show that the charge of the black hole induces a regular cosmological evolution for the scale factor of the brane, with a smooth transition between a contracting and an eventual expanding phase. Simple analytical solutions can be obtained in the case of a vanishing effective cosmological constant on the brane. A nonvanishing cosmological constant, or the inclusion of radiation on the brane, does not spoil the regularity of these solutions at small radii, and observational constraints such as the ones from primordial nucleosynthesis can be easily met. Fluctuations of brane fields remain in the linear regime provided the minimal size of the scale factor is sufficiently large. We conclude with an analysis of the Cardy-Verlinde formula in this set up.

Original language | English (US) |
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Pages (from-to) | 297-305 |

Number of pages | 9 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 547 |

Issue number | 3-4 |

DOIs | |

State | Published - Nov 7 2002 |

### Bibliographical note

Funding Information:The work of S.M. is supported in part by a DFG grant. He also wishes to thank Peter Nilles for providing a very pleasant working atmosphere in his group at Bonn. M.P. acknowledges useful discussions with David Lyth, Lorenzo Sorbo, and Gianmassimo Tasinato. The work of M.P. is supported by the European Community's Human Potential Programme under contracts HPRN-CT-2000-00131 Quantum Spacetime, HPRN-CT-2000-00148 Physics Across the Present Energy Frontier, HPRN-CT-2000-00152 Supersymmetry and the Early Universe.