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Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes

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arxiv gr-qc/0302095 v1 pith:QSP5B3AH submitted 2003-02-24 gr-qc astro-ph

C. Cherubini , D. Bini , S. Capozziello , R. Ruffini This is my paper · ORCID
classification gr-qcastro-ph
keywords invariantsorderriemannscalarsecondtensoranalogyapplications
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We discuss the Kretschmann, Chern-Pontryagin and Euler invariants among the second order scalar invariants of the Riemann tensor in any spacetime in the Newman-Penrose formalism and in the framework of gravitoelectromagnetism, using the Kerr-Newman geometry as an example. An analogy with electromagnetic invariants leads to the definition of regions of gravitoelectric or gravitomagnetic dominance.

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Cited by 4 Pith papers

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