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.

Accepted for publication in Turkish Journal of Physics

References in corpus (8)

• Kundt Spacetimes
• General Kundt spacetimes in higher dimensions
• Gyratonic pp-waves and their impulsive limit
• Algebraic structure of Robinson-Trautman and Kundt geometries in arbitrary dimension
• Kundt wave geometries in Eddington-inspired Born-Infeld gravity: New solutions and memory effects
• Chaotic motion in Kundt spacetimes
• Classification of Robinson-Trautmann and Kundt Geometries with Large D Limit
• Exact gyratons in higher and infinite derivative gravity