Vanishing Love Numbers of Kerr-Newman Black Holes

@misc{chakraborty2026vanishing,
  title = {{Vanishing Love Numbers of Kerr-Newman Black Holes}},
  author = {Sumanta Chakraborty and Takuya Katagiri and Paolo Pani and Jun-Xi Shi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17179},
  eprint = {2610.17179},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17179},
}

TY  - UNPB
TI  - Vanishing Love Numbers of Kerr-Newman Black Holes
AU  - Sumanta Chakraborty
AU  - Takuya Katagiri
AU  - Paolo Pani
AU  - Jun-Xi Shi
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2610.17179
UR  - https://arxiv.org/abs/2610.17179
AB  - Tidal Love numbers characterize the conservative response of compact objects to external perturbations and provide a powerful probe of their nature. While the static Love numbers of Schwarzschild, Kerr, and Reissner--Nordström black holes remarkably vanish, the tidal response of a generic Kerr--Newman black hole has remained unexplored due to the intrinsic coupling between gravitational and electromagnetic perturbations. Exploiting a recent breakthrough in the separability of these perturbations, we analytically determine the static tidal response of the most general stationary black hole in four-dimensional Einstein--Maxwell theory. For arbitrary multipole order, charge, and spin, we show that the entire matrix of conservative Love numbers vanishes, including the mixed gravito-electromagnetic couplings. We also compute the nonvanishing static dissipative response induced by frame dragging.
ER  -