U-duality Covariant M-theory Cosmology

TL;DR

This paper develops a U-duality covariant framework for M-theory cosmology, revealing invariance of certain cosmological properties and how U-duality transformations influence solution transitions in dimensions 4 and 5.

Contribution

It introduces a U-duality covariant approach to M-theory cosmology and analyzes its effects on cosmological solutions in D=4 and D=5.

Findings

U-duality invariance of expansion powers and Hubble parameters in asymptotic regions

U-duality transformations shift transition times between cosmological phases

U-duality maps expanding solutions between positive and negative branches in D=5

Abstract

A manifestly U-duality covariant approach to M-theory cosmology is developed and applied to cosmologies in dimensions D=4,5. Cosmological properties such as expansion powers and Hubble parameters turn out to be U-duality invariant in certain asymptotic regions. U-duality transformations acting on cosmological solutions, on the other hand, shift the transition time between two asymptotic regions and determine the details of the transition. Moreover, in D=5, we show that U-duality can map expanding negative and positive branch solutions into each other.