Note on Invariants of the Weyl Tensor
Bogdan Nita, Ivor Robinson
TL;DR
This paper discusses algebraic and differential invariants of the Weyl tensor to characterize algebraically special gravitational fields, introducing a type III invariant and calculating it for Robinson-Trautman spaces.
Contribution
It introduces a new type III invariant of the Weyl tensor and computes it explicitly for Robinson-Trautman spacetimes.
Findings
Type III invariant calculated for Robinson-Trautman spaces
Enhanced understanding of algebraic invariants of the Weyl tensor
New tools for classifying gravitational fields
Abstract
Algebraically special gravitational fields are described using algebraic and differential invariants of the Weyl tensor. A type III invariant is also given and calculated for Robinson-Trautman spaces.
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