E10 Cosmology

TL;DR

This paper constructs exact cosmological solutions within the E10/K(E10) coset model, connecting integrability with supergravity and M-theory, and explores their implications for accelerated expansion and S-brane solutions.

Contribution

It provides explicit exact solutions to the E10/K(E10) model and demonstrates their correspondence with known supergravity and M-theory cosmological solutions.

Findings

Recovered solutions with accelerated expansion

Connected E10 solutions to S-brane configurations

Discussed limitations with non-zero internal curvature

Abstract

We construct simple exact solutions to the E10/K(E10) coset model by exploiting its integrability. Using the known correspondences with the bosonic sectors of maximal supergravity theories, these exact solutions translate into exact cosmological solutions. In this way, we are able to recover some recently discovered solutions of M-theory exhibiting phases of accelerated expansion, or, equivalently, S-brane solutions, and thereby accommodate such solutions within the E10/K(E10) model. We also discuss the difficulties regarding solutions with non-vanishing (constant) curvature of the internal manifold.