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arXiv · 2608.24446

Dynamical Tidal Response and Love Numbers of Massless Bosonic and Fermionic Perturbations of Kerr--Anti-de Sitter Black Holes

Himanshu Buragohain·Prabwal Phukon
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Abstract

We examine the tidal response of Kerr--Anti-de Sitter black holes using the Teukolsky formalism in a vacuum background. We consider massless perturbations with spin weights $s = 0,\ \pm\frac{1}{2},\ \pm1,\ \pm\frac{3}{2},\ \pm2$, corresponding to scalar, fermionic, electromagnetic, and gravitational perturbations, respectively. We determine the Tidal Love number using the near-horizon approximation. For asymptotically flat black holes in general relativity, the conservative tidal response vanishes identically. In contrast, we find that the presence of a negative cosmological constant parameter in the Kerr--Anti-de Sitter black holes leads to a non-trivial tidal response, containing both conservative and dissipative contributions. We systematically study the static and dynamical tidal responses of Kerr--Anti-de Sitter black holes. In particular, we examine the behaviour of the conservative and dissipative response coefficients and investigate their dependence on the black-hole rotation parameter and the AdS curvature scale.

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Himanshu Buragohain, Prabwal Phukon. 2026-08-25. Dynamical Tidal Response and Love Numbers of Massless Bosonic and Fermionic Perturbations of Kerr--Anti-de Sitter Black Holes. https://arxiv.org/abs/2608.24446

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