A Note on Supersymmetric Godel Black Holes, Strings and Rings of Minimal d=5 Supergravity

TL;DR

This paper demonstrates a method to deform supersymmetric solutions in minimal five-dimensional supergravity, transforming asymptotically flat solutions into Godel-type solutions, and applies it to black-ring and black-string configurations.

Contribution

It introduces a deformation technique for supersymmetric solutions, enabling the generation of Godel solutions from known asymptotically flat solutions in minimal d=5 supergravity.

Findings

Successfully deformed black-ring and black-string solutions into Godel-type solutions.

Provided a systematic approach to generate new supersymmetric solutions.

Enhanced understanding of the solution space in five-dimensional supergravity.

Abstract

We show how any asymptotically flat supersymmetric solution of minimal d=5 supergravity with flat base space can be deformed into another supersymmetric asymptotically-Godel solution and apply this procedure to the recently found supersymmetric black-ring and black-string solutions.