Charges for linearized gravity

Abstract

Maxwell test fields as well as solutions of linearized gravity on the Kerr exterior admit non-radiating modes, i.e. non-trivial time-independent solutions. These are closely related to conserved charges. In this paper we discuss the non-radiating modes for linearized gravity, which may be seen to correspond to the Poincare Lie-algebra. The 2-dimensional isometry group of Kerr corresponds to a 2-parameter family of gauge-invariant non-radiating modes representing infinitesimal perturbations of mass and azimuthal angular momentum. We calculate the linearized mass charge in terms of linearized Newman-Penrose scalars.

19 pages. v3: Added comments and references

References in corpus (2)

• On the invariant symmetries of the $\mathcal{D}$-metrics
• Weyl Tensor Classification in Four-dimensional Manifolds of All Signatures

Cited by in corpus (5)

• Stability for linearized gravity on the Kerr spacetime
• New identities for linearized gravity on the Kerr spacetime
• Canonical Energy and Hertz Potentials for Perturbations of Schwarzschild Spacetime
• A geometric description of Maxwell field in a Kerr spacetime
• Noether currents for the Teukolsky Master Equation