Charged Schrodinger Black Holes

TL;DR

This paper constructs charged, rotating Schrödinger black holes in IIB supergravity, showing their near-horizon physics and thermodynamics resemble their AdS origins, with extremal limits featuring AdS_2 geometries.

Contribution

It provides a closed-form null Melvin twist for type IIB backgrounds and analyzes the thermodynamics and extremal limits of Schrödinger black holes.

Findings

Near-horizon physics inherited from AdS black holes

Existence of zero-temperature extremal limits with AdS_2 geometries

AdS_2 radius larger than asymptotic Schrödinger space

Abstract

We construct charged and rotating asymptotically Schrodinger black hole solutions of 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 Schrodinger black holes obtained in this way are essentially inherited from their AdS progenitors, and verify that they admit zero-temperature extremal limits with AdS_2 near-horizon geometries. Notably, the AdS_2 radius is parametrically larger than that of the asymptotic Schrodinger space.