Analyzes of Algebraic Classification of Higher Dimensional Kundt Geometries with Large $D$ Method

TL;DR

This paper revisits the algebraic classification of higher-dimensional Kundt geometries in the large D limit, establishing conditions for algebraic speciality and analyzing various subclasses.

Contribution

It extends previous work by explicitly determining conditions for algebraic speciality and analyzing multiple subclasses of Kundt geometries in high dimensions.

Findings

Derived conditions for algebraic speciality in large D limit.

Explicit analysis of Type II, III, N, O, D Kundt geometries.

Studied subclasses like pp-waves and VSI spacetimes.

Abstract

In this paper, classification of higher dimensional Kundt geometry is revisited as the dimension of the spacetime $D \rightarrow\infty$. In addition to previous studies, in order to Kundt geometry becomes algebraically special spacetime obligatory conditions are determined. Additionally, Type II, Type III, Type N, Type O and Type D Kundt geometries are explicitly analyzed. Classification of several metrics such as pp-waves, non-gyratonic Kundt metric and VSI spacetime, which are well-known subclasses of Kundt geometry are studied.