Decay of dirac fields in the backgrounds of dilatonic black holes

Ramón Becar, Samuel Lepe, JOEL FRANCISCO SAAVEDRA ALVEAR

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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 languageEnglish
Pages (from-to)1713-1723
Number of pages11
JournalInternational Journal of Modern Physics A
Volume25
Issue number8
DOIs
StatePublished - 30 Mar 2010

Keywords

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

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