## Abstract

We find an exact solution to the Dirac equation in the background of the dilatonic black hole in 1 + 1 and 4 + 1 dimensions, and for them we calculate the corresponding quasinormal frequencies. In the two-dimensional case we find that for Weyl spinors the quasinormal modes' (QNM's) frequencies are pure imaginary and have negative sign for all modes, ensuring the stability of the (1 + 1)-dimensional dilatonic black hole. We generalize results to the (4 + 1)-dimensional dilatonic black hole, where the metric is product of a two-dimensional asymptotically flat geometry and a three-sphere with a constant radius. Our conclusion is that the QNMs are pure imaginary, as in the (1 + 1)-dimensional case.

Original language | English |
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Pages (from-to) | 1713-1723 |

Number of pages | 11 |

Journal | International Journal of Modern Physics A |

Volume | 25 |

Issue number | 8 |

DOIs | |

State | Published - 30 Mar 2010 |

## Keywords

- Dilatonic black hole
- Quasinormal modes
- Two-dimensional gravity