Spinning Black Holes Fall in Love. (arXiv:2007.00214v2 [gr-qc] UPDATED)
Spinning Black Holes Fall in Love. (arXiv:2007.00214v2 [gr-qc] UPDATED) <a href="http://arxiv.org/find/gr-qc/1/au:+Tiec_A/0/1/0/all/0/1">Alexandre Le Tiec</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Casals_M/0/1/0/all/0/1">Marc Casals</a> The open question of whether a black hole can become tidally deformed by an external gravitational field has profound implications for fundamental physics, astrophysics and gravitational-wave astronomy. Love tensors characterize the tidal deformability of compact objects such as astrophysical (Kerr) black holes under an external static tidal field. We prove that all Love tensors vanish identically for a Kerr black hole in the nonspinning limit or for an axisymmetric tidal perturbation. In contrast to this result, we show that Love tensors are generically nonzero for a spinning black hole.Read More →