Abstract
We study the dynamical evolution of a scalar field coupling to Einstein’s tensor in the background of a Reissner-Nordström black hole. Our results show that the coupling constant imprints in the wave dynamics of a scalar perturbation. In the weak coupling, we find that with the increase of the coupling constant the real parts of the fundamental quasinormal frequencies decrease and the absolute values of imaginary parts increase for fixed charge and multipole number . In the strong coupling, we find that for the instability occurs when is larger than a certain threshold value which deceases with the multipole number and charge . However, for the lowest , we find that there does not exist such a threshold value and the scalar field always decays for arbitrary coupling constant.
- Received 11 July 2010
DOI:https://doi.org/10.1103/PhysRevD.82.084006
© 2010 The American Physical Society