TY - JOUR

T1 - Decay of dirac fields in the backgrounds of dilatonic black holes

AU - Becar, Ramón

AU - Lepe, Samuel

AU - Saavedra, Joel

N1 - Funding Information:
We are grateful to O. Miˇsković, J. Oliva and R. Troncoso for the many useful discussions, as well as the helpful comments and criticisms. This work was supported by the Comision Nacional de Ciencias y Tecnologia through Fondecyt Grant 11060515 (J. Saavedra). It was also partially supported by PUCV Grants 123.701/2008 (S. Lepe) and 123.789/2007 (J. Saavedra). R. Becar was supported by Conicyt.

PY - 2010/3/30

Y1 - 2010/3/30

N2 - 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.

AB - 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.

KW - Dilatonic black hole

KW - Quasinormal modes

KW - Two-dimensional gravity

UR - http://www.scopus.com/inward/record.url?scp=77951687664&partnerID=8YFLogxK

U2 - 10.1142/S0217751X10048275

DO - 10.1142/S0217751X10048275

M3 - Article

AN - SCOPUS:77951687664

VL - 25

SP - 1713

EP - 1723

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 8

ER -