Integrable higher-dimensional cosmology with separable variables in an Einstein-dilaton-antisymmetric field theory

TL;DR

This paper presents exact solutions for a higher-dimensional cosmological model with a dilaton and form fields, showing scenarios of accelerating expansion and discussing quantum cosmology aspects.

Contribution

It introduces a separable-variable method to find exact solutions in an Einstein-dilaton-antisymmetric field theory with fluxes.

Findings

Some solutions exhibit accelerating expansion of the observable universe

Exact solutions are obtained through variable separation

Quantum cosmology aspects are briefly discussed

Abstract

We consider a $D$-dimensional cosmological model with a dilaton field and two $(D-d-1)$-form field strengths which have nonvanishing fluxes in extra dimensions. Exact solutions for the model with a certain set of couplings are obtained by separation of three variables. Some of the solutions describe accelerating expansion of the $d$-dimensional space. Quantum cosmological aspects of the model are also briefly mentioned.