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Hidden symmetries and decay for the wave equation on the Kerr spacetime
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.). Max Planck Institute for Gravitational Physics, United Kingdom.
2015 (English)In: Annals of Mathematics, ISSN 0003-486X, E-ISSN 1939-8980, Vol. 182, no 3, 787-853 p.Article in journal (Refereed) Published
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Abstract [en]

Energy and decay estimates for the wave equation on the exterior region of slowly rotating Kerr spacetimes are proved. The method used is a generalisation of the vector-field method that 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.

Place, publisher, year, edition, pages
Princeton University Press, 2015. Vol. 182, no 3, 787-853 p.
Keyword [en]
Kerr black hole, symmetry operators, wave equation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-181218DOI: 10.4007/annals.2015.182.3.1ISI: 000367716100001Scopus ID: 2-s2.0-84953217379OAI: oai:DiVA.org:kth-181218DiVA: diva2:900213
Note

QC 20160203. QC 20160207

Available from: 2016-02-03 Created: 2016-01-29 Last updated: 2016-11-23Bibliographically approved

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