Cosmological Solutions in Five Dimensional Minimal Supergravity

TL;DR

This paper presents new non-stationary cosmological solutions in five-dimensional minimal supergravity without tri-holomorphic U(1) symmetries, showing monotonic c-function behavior consistent with positive cosmological constant expectations.

Contribution

It introduces novel non-stationary solutions that extend previous work and lack certain symmetries, enriching the understanding of supergravity cosmologies.

Findings

Solutions exhibit monotonic c-function behavior over time.

Some solutions generalize previously known solutions.

Results align with theoretical expectations for positive cosmological constant.

Abstract

We construct new non-stationary cosmological solutions to five-dimensional minimal supergravity that don't have any tri-holomorphic U(1) isometries. Our new solutions, in part, contain some of the previously constructed solutions to the minimal supergravity. The c-function of solutions shows monotonic increasing/decreasing behaviour in time, in agreement with the expected behaviour of c-function in spacetimes with positive cosmological constant.