Supersymmetric Godel-type Universe in four Dimensions

TL;DR

This paper classifies supersymmetric solutions in N=2, D=4 gauged supergravity with external sources, identifying an electrically charged dust that leads to a Godel-type universe preserving a quarter of supersymmetries.

Contribution

It extends the classification of supersymmetric solutions to include external sources, specifically an electrically charged dust, and constructs a Godel-type universe solution.

Findings

The source must be an electrically charged dust.

A specific Godel-type universe solution preserving one quarter of supersymmetries is provided.

The classification of solutions is generalized to include external sources.

Abstract

We generalize the classification of all supersymmetric solutions of pure N=2, D=4 gauged supergravity to the case when external sources are included. It is shown that the source must be an electrically charged dust. We give a particular solution to the resulting equations, that describes a Goedel-type universe preserving one quarter of the supersymmetries.