General black holes, untwisted

TL;DR

This paper constructs interpolating geometries between general black holes and their simplified subtracted geometries using solution-generating techniques, revealing their string duality interpretations and enabling untwisting to AdS_3 times a sphere.

Contribution

It introduces new solution-generating methods for black hole geometries and interprets these transformations as string dualities, facilitating the untwisting of black holes to AdS_3 structures.

Findings

Interpolating geometries between black holes and subtracted geometries.

Solution-generating techniques using Harrison and STU transformations.

String duality interpretation of solution transformations.

Abstract

We use solution-generating techniques to construct interpolating geometries between general asymptotically flat, charged, rotating, non-extremal black holes in four and five dimensions and their subtracted geometries. In the four-dimensional case, this is achieved by the use of Harrison transformations, whereas in the five-dimensional case we use STU transformations. We also give the interpretation of these solution-generating transformations in terms of string (pseudo)-dualities, showing that they correspond to combinations of T-dualities and Melvin twists. Upon uplift to one dimension higher, these dualities allow us to "untwist" general black holes to AdS_3 times a sphere.