LETTER TO THE EDITOR: A spacetime whose invariant classification requires the fifth covariant derivative of the Riemann tensor

Details LETTER TO THE EDITOR: A spacetime whose invariant classification requires the fifth covariant derivative of the Riemann tensor LETTER TO THE EDITOR: A spacetime whose invariant classification requires the fifth covariant derivative of the Riemann tensor

Apr 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cqgra..17l..69s&link_type=abstract

Classical and Quantum Gravity, Volume 17, Issue 8, pp. L69-L74 (2000).

Physics

5

Scientific paper

We present the first example of a metric whose invariant classification requires the fifth covariant derivative of the Riemann tensor. The existence of this metric raises the known practical bound for invariant classifications, reconciles the theoretical and practical upper limits for invariant classifications of Petrov type N spacetimes, and brings the practical limits for invariant classifications to within one of the theoretical limits for a spacetime in general.

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