Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes
arXiv:gr-qc/0302095 · doi:10.1142/S0218271802002037
Abstract
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.
19 pages, uses ijmpd macros, 8 eps figures