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arXiv · 1609.01297

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

Shahar Hod
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Abstract

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 $\{ω_n(μ,q,M,Q)\}_{n=0}^{n=\infty}$ 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 {\it analytically} in the eikonal regime $1\ll Mμ<qQ$. 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 {\it decreasing} function of the dimensionless ratio $μ/q$. In particular, it is shown that the quasinormal resonance spectrum is characterized by the asymptotic behavior $\Imω\to0$ in the limiting case $Mμ\to qQ$. This intriguing finding implies that the composed Reissner-Nordström-black-hole-charged-massive-scalar-field system is characterized by extremely long relaxation times $τ_{\text{relax}}\equiv 1/\Imω\to\infty$ in the $Mμ/qQ\to 1^-$ limit.

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Shahar Hod. 2016-09-05. Slowly decaying resonances of charged massive scalar fields in the Reissner-Nordström black-hole spacetime. https://doi.org/10.1016/j.physletb.2016.08.008

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