Nonlinear Static Tidal Deformation of Black Holes

by Luca Santoni (CNRS, APC, Paris)

Wednesday Feb 26, 2025, 2:45 PM → 4:00 PM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Séminaire Amplitudes et Gravitation sur l'Yvette (IHES/IPhT)

In gravity theories, the conservative tidal deformability of a self-gravitating object is parametrized in terms of a set of coefficients, commonly referred to as Love numbers. At leading order, these coefficients are obtained by solving the linearized static Einstein equations for the perturbations. In the talk, I will discuss the role of field nonlinearities in the calculation of the tidal deformability of compact objects. I will show that an infinite subset of nonlinear Love numbers of black holes is identically zero, a result that extends the well-known vanishing of linear Love numbers to higher orders in perturbation theory. Remarkably, this result follows from a fully nonlinear hidden symmetry structure in general relativity.

 

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