Hidden symmetries and decay for the wave equation on the Kerr spacetime
2015 (English)In: Annals of Mathematics, ISSN 0003-486X, E-ISSN 1939-8980, Vol. 182, no 3, 787-853 p.Article in journal (Refereed) PublishedText
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.
Kerr black hole, symmetry operators, wave equation
IdentifiersURN: urn:nbn:se:kth:diva-181218DOI: 10.4007/annals.2015.182.3.1ISI: 000367716100001ScopusID: 2-s2.0-84953217379OAI: oai:DiVA.org:kth-181218DiVA: diva2:900213
QC 20160203. QC 201602072016-02-032016-01-292016-02-07Bibliographically approved