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  Compatibility complex for black hole spacetimes

Aksteiner, S., Andersson, L., Bäckdahl, T., Khavkine, I., & Whiting, B. (2021). Compatibility complex for black hole spacetimes. Communications in Mathematical Physics, 2021. doi:10.1007/s00220-021-04078-y.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-8E6B-1 Version Permalink: https://hdl.handle.net/21.11116/0000-0008-8E6F-D
Genre: Journal Article

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 Creators:
Aksteiner, Steffen1, Author           
Andersson, Lars1, Author           
Bäckdahl, Thomas2, Author           
Khavkine, Igor, Author
Whiting, Bernard, Author
Affiliations:
1Geometry and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_3214076              
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Differential Geometry, math.DG,Mathematics, Mathematical Physics, math.MP,
 Abstract: The set of local gauge invariant quantities for linearized gravity on the
Kerr spacetime presented by two of the authors (S.A, T.B.) in
(arXiv:1803.05341) 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 (arXiv:1803.05341) with the first compatibility operator
from that complex.

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 Dates: 2019-10-192021-05-102021
 Publication Status: Published online
 Pages: 23 pages. Some remarks added
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1910.08756
DOI: 10.1007/s00220-021-04078-y
 Degree: -

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Title: Communications in Mathematical Physics
Source Genre: Journal
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Publ. Info: Heidelberg : Springer-Verlag Heidelberg
Pages: - Volume / Issue: 2021 Sequence Number: - Start / End Page: - Identifier: ISSN: 0010-3616
CoNE: https://pure.mpg.de/cone/journals/resource/954925392313