Totally symmetrized spinors and null rotation invariance
Malcolm A.H. MacCallum
TL;DR
This paper investigates null rotational invariance in symmetrized spinors used in spacetime classification, correcting previous misunderstandings and providing conditions for detecting such invariance.
Contribution
It introduces corrected conditions for null rotational invariance of symmetrized spinors in the Cartan-Karlhede classification.
Findings
Corrected previous discussion on null rotational invariance
Established conditions for detecting invariance in symmetrized spinors
Enhanced understanding of spinor symmetries in spacetime classification
Abstract
In the existing implementations of the Cartan-Karlhede procedure for characterization and classification of spacetimes, a prominent r\^ole is played by multi-index two-component spinors symmetrized over both types of index. This paper considers the conditions for, and detection of, null rotational invariance of such spinors, and corrects a previous discussion.
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