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  • Letter

Rotating black holes experience dynamical tides

Rajendra Prasad Bhatt1,*, Sumanta Chakraborty2,†, and Sukanta Bose3,‡

  • *Contact author: rajendra@iucaa.in
  • †Contact author: tpsc@iacs.res.in
  • ‡Contact author: sukanta@wsu.edu

Phys. Rev. D 111, L041504 – Published 19 February, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L041504

Abstract

We find the dynamical tidal response of a Kerr black hole (BH) and demonstrate its tidal Love numbers to be nonvanishing when present in a nonaxisymmetric external tidal field. To leading order, they depend quadratically on the black hole spin and linearly on the mode frequency. This implies that Kerr BHs are deformable under certain external, time-dependent perturbations. Since nonvanishing tidal Love numbers have been used in compact binary coalescences observed by the LIGO-Virgo-KAGRA Collaboration to infer their non-BH nature, our findings have important implications on such inferences from future gravitational wave observations.

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