Dynamical evolution of a scalar field coupling to Einstein's tensor in the Reissner-Nordstroem black hole spacetime
- Institute of Physics and Department of Physics, Hunan Normal University, Changsha, Hunan 410081 (China) and Key Laboratory of Low Dimensional Quantum Structures, and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, Hunan 410081 (China)
We study the dynamical evolution of a scalar field coupling to Einstein's tensor in the background of a Reissner-Nordstroem black hole. Our results show that the coupling constant {eta} imprints in the wave dynamics of a scalar perturbation. In the weak coupling, we find that with the increase of the coupling constant {eta} the real parts of the fundamental quasinormal frequencies decrease and the absolute values of imaginary parts increase for fixed charge q and multipole number l. In the strong coupling, we find that for l{ne}0 the instability occurs when {eta} is larger than a certain threshold value {eta}{sub c} which deceases with the multipole number l and charge q. However, for the lowest l=0, we find that there does not exist such a threshold value and the scalar field always decays for arbitrary coupling constant.
- OSTI ID:
- 21432376
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 82, Issue 8; Other Information: DOI: 10.1103/PhysRevD.82.084006; (c) 2010 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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