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

Abstract

In this paper, classification of higher dimensional Kundt geometry is revisited as the dimension of the spacetime $D\to \infty$. 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.

arXiv commentAccepted for publication in Turkish Journal of Physics

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