Analyzes of algebraic classification of higher dimensional Kundt geometries with large $D$ method

Authors: PINAR KİREZLİ

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.

Keywords: Kundt, large $D$ method, algebraic classification

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