Abstract
We construct charged and rotating asymptotically Schr\"odinger 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 Schr\"odinger 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 Schr\"odinger space.
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