Rotating Black Holes vs Warped Extra Dimensions

Massive bosonic fields can trigger superradiant instabilities in rotating astrophysical black holes leading to gaps in their mass-spin distribution. For a tower of ultra-light spin-2 fields arising from a warped compactification of extra dimensions, superradiant constraints on their masses can be translated into constraints on the warping itself. Taking the 2-brane Randall-Sundrum model as a concrete example, I will present constraints on the size of the extra dimension and the curvature of AdS5. I will then discuss the implications of these bounds for strongly warped throats and D-brane uplifts commonly used in attempts to realise metastable de Sitter vacua in string theory.