All Local Gauge Invariants for Perturbations of the Kerr Spacetime.

@article{Aksteiner2018AllLG,
  title={All Local Gauge Invariants for Perturbations of the Kerr Spacetime.},
  author={Steffen Aksteiner and Thomas B{\"a}ckdahl},
  journal={Physical review letters},
  year={2018},
  volume={121 5},
  pages={
          051104
        }
}
  • Steffen Aksteiner, Thomas Bäckdahl
  • Published 2018
  • Medicine, Physics
  • Physical review letters
  • 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… CONTINUE READING
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    • 58
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    • 3
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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 27 REFERENCES
    On quadratic first integrals of the geodesic equations for type {22} spacetimes
    • 374
    On perturbations of a Kerr black hole
    • 90
    Nonmodal linear stability of the Schwarzschild black hole.
    • 19
    • PDF
    Compatibility complex for black hole spacetimes
    • 2
    • PDF
    The Mathematical Theory of Black Holes
    • 3,523
    Radiation fields in the Schwarzschild background
    • 143
    • PDF
    New identities for linearized gravity on the Kerr spacetime
    • 17
    • PDF