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  Hidden symmetries and decay for the wave equation on the Kerr spacetime

Andersson, L., & Blue, P. (2015). Hidden symmetries and decay for the wave equation on the Kerr spacetime. Annals of Mathematics, 182(3), 787-853. doi:10.4007/annals.2015.182.3.1.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-0046-0 Version Permalink: https://hdl.handle.net/21.11116/0000-0002-9ACC-B
Genre: Journal Article

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 Creators:
Andersson, Lars1, Author           
Blue, Pieter, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Mathematics, Analysis of PDEs, math.AP,General Relativity and Quantum Cosmology, gr-qc
 Abstract: Energy and decay estimates for the wave equation on the exterior region of
slowly rotating Kerr spacetimes are proved. The method used is a generalization
of the vector-field method, which allows the use of higher-order symmetry
operators. In particular, our method makes use of the second-order Carter
operator, which is a hidden symmetry in the sense that it does not correspond
to a Killing symmetry of the spacetime.

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 Dates: 2009-08-162015-09-032015
 Publication Status: Issued
 Pages: 50 pages, pdflatex. v3 proves the existence of a uniformly bounded energy and a Morawetz estimate. v1-2 also included a proof of a pointwise, almost-inverse-linear power-law decay estimate. The additional proof from v1-2, while correct, is a distraction from the generalised vector-field method and has been omitted from v3, which is to appear in http://annals.math.princeton.edu/articles/9459
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 Identifiers: arXiv: 0908.2265
DOI: 10.4007/annals.2015.182.3.1
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Title: Annals of Mathematics
Source Genre: Journal
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Pages: - Volume / Issue: 182 (3) Sequence Number: - Start / End Page: 787 - 853 Identifier: -