Killing spinor space-times and constant-eigenvalue Killing tensors
D. Beke, N. Van den Bergh, L. Wylleman
TL;DR
This paper studies a special class of Petrov type D space-times with Killing spinors, showing their conformal representatives only admit Killing tensors with constant eigenvalues, revealing unique geometric properties.
Contribution
It introduces a new class of Petrov type D Killing spinor space-times with the unique property of constant eigenvalue Killing tensors in their conformal forms.
Findings
Identifies a class of Petrov type D space-times with specific Killing spinor properties.
Shows conformal representatives admit only Killing tensors with constant eigenvalues.
Highlights geometric implications of these properties.
Abstract
A class of Petrov type D Killing spinor space-times is presented, having the peculiar property that their conformal representants can only admit Killing tensors with constant eigenvalues.
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