Killing-Yano Tensors of Valence-2 in the Standard Kaluza-Klein Theory
Ali Nur Nurbaki
TL;DR
This paper explores the existence and conditions of valence-2 Killing-Yano tensors within the framework of 5-dimensional Kaluza-Klein theory, focusing on their properties in Minkowski spacetime.
Contribution
It derives Killing-Yano equations for valence-2 tensors in 5D Kaluza-Klein theory and identifies conditions for their existence in Minkowski space.
Findings
Killing-Yano equations for valence-2 tensors are formulated in 5D
Conditions for the existence of such tensors in Minkowski space are established
The study clarifies the role of fifth components in Killing-Yano symmetry
Abstract
This work is constructed on two main concepts: Killing-Yano symmetry and the Kaluza-Klein theory. Those concepts are reviewed in the first three chapters. In the fourth chapter firstly Killing-Yano equations of valence-2 are obtained for a general 5-dimensional metric and then reduced for the Minkowski metric. It is seen that in order to save the existence of Killing-Yano tensors with the fifth components some conditions must be satisfied
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Pulsars and Gravitational Waves Research · Cosmology and Gravitation Theories