Cos(M)ological Solutions in M- and String Theory

TL;DR

This paper explores 11-dimensional cosmological solutions with 4-form charges, establishing links to 10D string gravity solutions and proposing methods to resolve singularities by dimensional oxidation.

Contribution

It introduces new 11D solutions with 4-form charges and discusses their relation to 10D string solutions, including potential singularity removal techniques.

Findings

Explicit correspondence between 11D and 10D solutions

New solutions involving 4-form charge combinations

Speculation on singularity removal via oxidation

Abstract

We consider solutions to the cosmological equations of motion in 11 dimensions with and without 4-form charges. We show explicitly the correspondence between some of these solutions and known solutions in 10 dimensional string gravity. New solutions involving combinations of 4-form charges are explored. We also speculate on the possibility of removing curvature singularities present in 10D theories by oxidizing to 11D.