A note on cosmological Levi-Civita spacetimes in higher dimensions

TL;DR

This paper introduces a new class of higher-dimensional cosmological solutions to Einstein's equations, extending cylindrically symmetric spacetimes, with the AdS soliton as a notable special case.

Contribution

It generalizes four-dimensional cylindrically symmetric solutions to higher dimensions, including the AdS soliton with distinctive singularity features.

Findings

Identified a new class of higher-dimensional solutions

Included the AdS soliton as a special case

Analyzed the singularity structure of these solutions

Abstract

We find a class of solutions to cosmological Einstein equations that generalizes the four dimensional cylindrically symmetric spacetimes to higher dimensions. The AdS soliton is a special member of this class with a unique singularity structure.