A new mechanism for freezing extra dimensions with higher-order curvature terms

TL;DR

This paper proposes a cosmological model using cubic Lovelock gravity that stabilizes extra dimensions throughout the universe's history, from inflation to current epoch, including radiation and matter-dominated phases.

Contribution

It introduces a novel mechanism employing higher-order curvature terms to freeze extra dimensions consistently over cosmic evolution.

Findings

Extra dimensions remain stable during all cosmic epochs.

The model integrates inflation, radiation, and matter-dominated regimes.

Higher-order Lovelock terms effectively prevent extra dimension expansion.

Abstract

We construct a model of higher dimensional cosmology in which extra dimensions are frozen by virtue of the cubic-order Lovelock gravity throughout the cosmic history from inflation to the present with radiation and matter-dominated regimes in between.