On the Vanishing of Love Numbers for Kerr Black Holes

Understand

It was shown recently that the static tidal response coefficients, called Love numbers, vanish identically for Kerr black holes in four dimensions.

• In this work, we confirm this result and extend it to the case of spin-0 and spin-1 perturbations.
• We compute the static response of Kerr black holes to scalar, electromagnetic, and gravitational fields at all orders in black hole spin.
• We use the unambiguous and gauge-invariant definition of Love numbers and their spin-0 and spin-1 analogs as Wilson coefficients of the point particle effective field theory.