Addendum to "Hyperbolic Space Cosmologies"

TL;DR

This paper extends previous work on hyperbolic space cosmologies by demonstrating the existence of accelerating solutions in ten-dimensional models, filling a critical gap in the understanding of such cosmologies.

Contribution

It shows that the accelerating solutions found in higher dimensions also exist in the critical case of ten dimensions, which was previously unconfirmed.

Findings

Accelerating solutions exist in D=10 hyperbolic space cosmologies.

The critical case D=10 admits solutions similar to higher dimensions.

Supports the viability of hyperbolic models in string theory contexts.

Abstract

In our earlier paper [JHEP 0310 (2003) 058], we considered higher dimensional cosmological models with hyperbolic spaces. In particular the eternal accelerating expansion was obtained by studying small perturbation around the critical non-accelerated solution for $D > 10$. In this addendum, we show that there is also such a solution in the critical case $D = 10$.