Slowly decaying resonances of charged massive scalar fields in the Reissner–Nordström black-hole spacetime

• Main Author: Shahar Hod
• Format: Article
• Language: English
• Published: Elsevier 2016-10-01
• Series: Physics Letters B
• Online Access: http://www.sciencedirect.com/science/article/pii/S0370269316304282

We determine the characteristic timescales associated with the linearized relaxation dynamics of the composed Reissner–Nordström-black-hole-charged-massive-scalar-field system. To that end, the quasinormal resonant frequencies {ωn(μ,q,M,Q)}n=0n=∞ which characterize the dynamics of a charged scalar field of mass μ and charge coupling constant q in the charged Reissner–Nordström black-hole spacetime of mass M and electric charge Q are determined analytically in the eikonal regime 1≪Mμ<qQ. Interestingly, we find that, for a given value of the dimensionless black-hole electric charge Q/M, the imaginary part of the resonant oscillation frequency is a monotonically decreasing function of the dimensionless ratio μ/q. In particular, it is shown that the quasinormal resonance spectrum is characterized by the asymptotic behavior ℑω→0 in the limiting case Mμ→qQ. This intriguing finding implies that the composed Reissner–Nordström-black-hole-charged-massive-scalar-field system is characterized by extremely long relaxation times τrelax≡1/ℑω→∞ in the Mμ/qQ→1− limit.