Kaehler forms and cosmological solutions in type II supergravities

TL;DR

This paper explores cosmological solutions in type II supergravity where the spacetime is divided into an FRW universe and a Kähler space, with 2-forms aligned with the Kähler form, potentially Calabi-Yau.

Contribution

It introduces a class of solutions linking supergravity cosmology with Kähler geometry, specifically utilizing the Kähler form in the solution structure.

Findings

Cosmological solutions with Kähler and Calabi-Yau spaces identified.

Alignment of supergravity 2-forms with Kähler forms demonstrated.

Potential implications for string cosmology models.

Abstract

We consider cosmological solutions to type II supergravity theories where the spacetime is split into a FRW universe and a K\"ahler space, which may be taken to be Calabi-Yau. The various 2-forms present in the theories are taken to be proportional to the K\"ahler form associated to the K\"ahler space.