We compute the scalar tidal Love numbers and static response coefficients associated with several rotating black holes in higher dimensions, including Myers-Perry black holes, black rings, and black strings. These coefficients exhibit a rich and complex structure as a function of the black hole parameters and multipoles. Our results agree in limiting cases with known and new expressions for various lower-dimensional black holes. In particular, we provide an alternative approach to the computation of the static response of Kerr black holes as a limiting case of the boosted black string.

• Received 11 August 2023
• Accepted 1 September 2023

DOI:https://doi.org/10.1103/PhysRevD.108.084011

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Published by the American Physical Society