Sommaire:

Compact astrophysical objects, like black holes and neutron stars, are opening a new and enlightening window on gravity. The study of such objects in strong curvature regimes now allows us to test alternative gravity theories, and notably the existence of other fundamental fields. I will discuss no-hair theorems, and how one can still build solutions that deviate from general relativity. I will investigate the robustness of these solutions, through their stability or the existence of a well-posed Cauchy problem. I will also discuss the associated observational imprints, focusing in particular on the interplay with dark energy.

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