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General Relativity and Quantum Cosmology, gr-qc,
Abstract:
We present two complex scalar gauge invariants for perturbations of the Kerr
spacetime defined covariantly in terms of the Killing vectors and the conformal
Killing-Yano tensor of the background together with the linearized curvature
and its first derivatives. These invariants are in particular sensitive to
variations of the Kerr parameters. Together with the Teukolsky scalars and the
linearized Ricci tensor they form a minimal set that generates all local gauge
invariants. We also present curvature invariants that reduce to the gauge
invariants in linearized theory.
