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Journal Article

All local gauge invariants for perturbations of the Kerr spacetime

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Bäckdahl,  Thomas
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1803.05341.pdf
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Citation

Aksteiner, S., & Bäckdahl, T. (2018). All local gauge invariants for perturbations of the Kerr spacetime. Physical Review Letters, 121: 051104. doi:10.1103/PhysRevLett.121.051104.


Cite as: https://hdl.handle.net/21.11116/0000-0001-E1B6-3
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.