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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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gr-qc 1

years

2024 1

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CONDITIONAL 1

representative citing papers

Stability of the spacetime of a magnetized compact object

gr-qc · 2024-11-17 · conditional · novelty 6.0

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.

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  • Stability of the spacetime of a magnetized compact object gr-qc · 2024-11-17 · conditional · none · ref 17 · internal anchor

    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.