A Note on 4d Kination and Higher-Dimensional Uplifts

TL;DR

This paper explores the connection between 4-dimensional kination cosmologies in string theory and higher-dimensional Kasner solutions, extending previous work across various string theories and M-theory, with detailed analysis of perturbations and matter effects.

Contribution

It generalizes the relationship between 4d kination and 10d Kasner solutions to multiple string theories and M-theory, providing detailed perturbation analysis and matter background effects.

Findings

Extended the 4d kination and Kasner solution relationship to IIB, other string theories, and M-theory.

Analyzed perturbations of 10d Kasner metrics and their relation to matter and radiation in 4d.

Provided detailed insights into the dimensional reduction and background effects in string cosmology.

Abstract

This note expands on the details of the relationship between 4d kination solutions in string cosmology and Kasner solutions of 10d general relativity. It extends previous analyses of this relationship in IIB string theory to other string theories and also to 11d M-theory, while also providing extensive detail on the relationship between perturbations of the 10d Kasner metric and the presence of radiation and matter backgrounds in the dimensionally reduced 4d kination theory.