Charged Schrödinger black holes

We construct charged and rotating asymptotically Schrödinger black hole solutions of type IIB supergravity. We begin by obtaining a closed-form expression for the null Melvin twist of a broad class of type IIB backgrounds, including solutions of minimal five-dimensional gauged supergravity, and identify the resulting five-dimensional effective action. We use these results to demonstrate that the near-horizon physics and thermodynamics of asymptotically Schrödinger black holes obtained in this way are essentially inherited from their anti–de Sitter (AdS) progenitors, and verify that they admit zero-temperature extremal limits with ${\mathrm{AdS}}_2$ near-horizon geometries. Notably, the ${\mathrm{AdS}}_2$ radius is parametrically larger than that of the asymptotic Schrödinger space.