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Quasinormal Modes in Near-Extremal Spinning C-Metric

Bogeun Gwak
Dec 2022
摘要
We investigate the quasinormal modes of the spinning C-metric with a masslessscalar field conformally coupled with gravity. Conformal transformation isemployed to separate and subsequently solve the massless scalar fieldequations. As the outer and acceleration horizons approach each other, thepotential term of the field equation is reduced to the P\"{o}shl-Tellerpotential because the acceleration horizon is similar to the cosmologicalhorizon of de Sitter spacetime. Finally, we obtain the analytical quasinormalfrequency at which the decay rate is quantized.
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