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Journal Article

New identities for linearized gravity on the Kerr spacetime

MPS-Authors
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Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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

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1601.06084.pdf
(Preprint), 248KB

1601.06084v2.pdf
(Preprint), 265KB

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Citation

Aksteiner, S., Andersson, L., & Bäckdahl, T. (2019). New identities for linearized gravity on the Kerr spacetime. Physical Review D, 99(4): 044043. doi:10.1103/PhysRevD.99.044043.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-AABD-E
Abstract
In this paper we prove a new identity for linearized gravity on vacuum spacetimes of Petrov type D. The new identity yields a covariant version of the Teukolsky-Starobinsky identities for linearized gravity, which in addition to the two classical identities for the extreme linearized Weyl scalars includes three additional equations. By analogy with the spin-1 case, we expect the new identity to be relevant in deriving new conservation laws for linearized gravity.