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

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

2003-02-24

arxiv.org/abs/gr-qc/0302095v1

Int.J.Mod.Phys.D11:827-841,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, uses ijmpd macros, 8 eps figures

Scientific paper

10.1142/S0218271802002037

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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