Classification of Higher Dimensional Spacetimes

TL;DR

This paper algebraically classifies certain higher-dimensional spacetimes, including vacuum solutions that model higher-dimensional black holes, and discusses the implications of these classifications.

Contribution

It provides a new algebraic classification scheme for higher-dimensional spacetimes, expanding understanding of higher-dimensional black hole solutions.

Findings

Classification of several higher-dimensional vacuum solutions

Insights into the structure of higher-dimensional black holes

Discussion of implications for Einstein field equations

Abstract

We algebraically classify some higher dimensional spacetimes, including a number of vacuum solutions of the Einstein field equations which can represent higher dimensional black holes. We discuss some consequences of this work.