Scalar perturbations on the exterior of a magnetized Gutsunaev-Manko compact object show quasinormal ringing followed by power-law tails, with stronger magnetization accelerating the ring-down decay.
Instability of Reissner-Nordstr\"om-AdS black hole under perturbations of a scalar field coupled to Einstein tensor
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abstract
We study the instability of a Reissner-Nordstr\"om-AdS (RNAdS) black hole under perturbations of a massive scalar field coupled to Einstein tensor. Calculating the potential of the scalar perturbations we find that as the strength of the coupling of the scalar to Einstein tensor is increasing, the potential develops a negative well outside the black hole horizon, indicating an instability of the background RNAdS. We then investigate the effect of this coupling on the quasinormal modes. We find that there exists a critical value of the coupling which triggers the instability of the RNAdS. We also find that as the charge of the RNAdS is increased towards its extremal value, the critical value of the derivative coupling is decreased.
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Stability of the spacetime of a magnetized compact object
Scalar perturbations on the exterior of a magnetized Gutsunaev-Manko compact object show quasinormal ringing followed by power-law tails, with stronger magnetization accelerating the ring-down decay.