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

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.

preprint2003arXivOpen access
C. CherubiniD. BiniS. CapozzielloR. Ruffini
astro-phgr-qc
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C. CherubiniD. BiniS. CapozzielloR. Ruffini

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