Generic regular universes in higher order gravity theories

TL;DR

This paper reviews recent findings on the mathematical structure of higher derivative gravity theories, demonstrating that solutions are generally regular when assuming analyticity, using formal series expansions of the metric.

Contribution

It establishes the generic regularity of solutions in higher order gravity theories under analyticity assumptions, using a formal series expansion approach.

Findings

Solutions are generically regular in higher derivative gravity theories.

Regularity is proven under the assumption of analyticity.

The approach uses formal series expansions of the metric.

Abstract

We review recent results on the Cauchy-Kowalevsky structure of theories with higher derivatives in vacuum. We prove genericity of regularity of solutions under the assumption of analyticity. Our approach is framed in the general context of formal series expansions of the metric around a regular point.