Vacuum Weyl Cosmologies in D Dimensions

TL;DR

This paper explores vacuum cosmological models within a multidimensional Weyl geometric framework, deriving exact solutions with internal spaces and identifying nonsingular models.

Contribution

It introduces new exact solutions for vacuum Weyl cosmologies in multiple dimensions, focusing on models with internal spaces and their nonsingular variants.

Findings

Derived a family of exact solutions with internal spaces

Identified nonsingular vacuum models in Weyl geometry

Analyzed models with a single internal space

Abstract

Vacuum cosmological models are considered in the context of a multidimensional theory of gravity with integrable Weyl geometry. A family of exact solutions with a chain of internal spaces is obtained. Models with one internal space are considered in more detail; nonsingular models are selected.