Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness
Tsuyoshi Houri, Takeshi Oota, Yukinori Yasui
TL;DR
This paper proves that the Kerr-NUT-de Sitter spacetime uniquely admits a specific type of tensor called a closed conformal Killing-Yano tensor, highlighting its special geometric properties.
Contribution
It establishes the uniqueness of the Kerr-NUT-de Sitter spacetime in admitting a rank-2 closed conformal Killing-Yano tensor with certain symmetries.
Findings
Kerr-NUT-de Sitter spacetime admits a rank-2 closed conformal Killing-Yano tensor.
This spacetime is unique in possessing such a tensor with specified symmetry.
The result characterizes the geometric structure of Kerr-NUT-de Sitter spacetime.
Abstract
We study spacetimes with a closed conformal Killing-Yano tensor. It is shown that the D-dimensional Kerr-NUT-de Sitter spacetime constructed by Chen-Lu-Pope is the only spacetime admitting a rank-2 closed conformal Killing-Yano tensor with a certain symmetry.
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