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

General Relativity and Quantum Cosmology 2023-09-07 v1

Abstract

In this paper, classification of higher dimensional Kundt geometry is revisited as the dimension of the spacetime DD \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

Cite

@article{arxiv.2308.06736,
  title  = {Analyzes of Algebraic Classification of Higher Dimensional Kundt Geometries with Large $D$ Method},
  author = {Pınar Kirezli},
  journal= {arXiv preprint arXiv:2308.06736},
  year   = {2023}
}

Comments

Accepted for publication in Turkish Journal of Physics