Scalar tidal response of static and rotating black holes in anti-de Sitter spacetime

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Abstract
In this work, we investigate the tidal response of both static and rotating black holes in anti de-Sitter spacetime. We perform the neutral scalar field perturbation for Schwarzschild and Kerr black holes. On the other hand, charged scalar field are used for perturbing Reissner-Nordstrom and Kerr-Newman black holes. We find that the tidal Love number for all black holes are always nonvanishing due to the presence of cosmological constant. In contrast, tidal dissipation can vanish for certain conditions depending on the scalar field's frequency and the black hole's parameters.

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