Abstract
AbstractThe set of local gauge invariant quantities for linearized gravity on the Kerr spacetime presented by two of the authors (Aksteiner and Bäckdahl in Phys Rev Lett 121:051104, 2018) is shown to be complete. In particular, any gauge invariant quantity for linearized gravity on Kerr that is local and of finite order in derivatives can be expressed in terms of these gauge invariants and derivatives thereof. The proof is carried out by constructing a complete compatibility complex for the Killing operator, and demonstrating the equivalence of the gauge invariants from Aksteiner and Bäckdahl (Phys Rev Lett 121:051104, 2018) with the first compatibility operator from that complex.
Funder
National Science Foundation
Agence Nationale de la Recherche
Vetenskapsrådet
Grantová Agentura České Republiky
Akademie Věd České Republiky
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Reference40 articles.
1. Aksteiner, S., Andersson, L., Bäckdahl, T.: New identities for linearized gravity on the Kerr spacetime. Phys. Rev. D 99, 044043 (2019). arXiv:1601.06084 [gr-qc]
2. Aksteiner, S., Bäckdahl, T.: All local gauge invariants for perturbations of the Kerr spacetime. Phys. Rev. Lett. 121, 051104 (2018). arXiv:1803.05341
3. Andersson, L., Bäckdahl, T., Blue, P.: Second order symmetry operators. Class. Quantum Gravity 31, 135015 (2014). arXiv:1402.6252 [gr-qc]
4. Andersson, L., Bäckdahl, T., Blue, P., Ma, S.: Stability for linearized gravity on the Kerr spacetime (2019). arXiv:1903.03859 [math.AP]
5. Bäckdahl, T.: A formalism for the calculus of variations with spinors. J. Math. Phys. 57, 022502 (2016). arXiv:1505.03770 [gr-qc]
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