Speaker
Description
The tidal deformability of compact objects, parameterized by their Love numbers, provides a crucial window into their internal structure and fundamental physics. In this talk, I will demonstrate that foundational principles impose strict constraints on these observables. Specifically, by exploiting the analytic properties of the tidal response function via a Kramers-Kronig dispersion relation, I will show that in the regime of weak gravity (small compactness), all static electric Love numbers must be strictly positive. I will outline the derivation of this bound, with a particular focus on the necessary theoretical assumptions regarding stability and high-frequency behavior. Finally, I will illustrate the scope and physical meaning of these assumptions by exploring several concrete examples.
| Other topic / keywords: | General Relativity, Theory |
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