Invariants of the Kerr Vacuum

Abstract

The Kerr vacuum has two independent invariants derivable from the Riemann tensor without differentiation. Both of these invariants must be examined in order to avoid an erroneous conclusion that the ring singularity of this spacetime is "directional".

10 pages, 8 figures revtex4 more information at http://grtensor.org/negweyl/

References in corpus (2)

• Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes
• The square of the Weyl tensor can be negative

Cited by in corpus (4)

• On geometry of deformed black holes: I. Majumdar-Papapetrou binary
• Curvature Invariants for accelerating Kerr-Newman black holes in (anti-)de Sitter spacetime
• Differential Invariants of the Kerr Vacuum
• Gravitomagnetism and the significance of the curvature scalar invariants