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dc.contributor.authorGajic, Dejanen
dc.date.accessioned2018-02-02T16:33:01Z
dc.date.available2018-02-02T16:33:01Z
dc.date.issued2017-12-01en
dc.identifier.issn1424-0637
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/271609
dc.description.abstractWe consider solutions to the linear wave equation in the interior region of extremal Kerr black holes. We show that axisymmetric solutions can be extended continuously beyond the Cauchy horizon and moreover that, if we assume suitably fast polynomial decay in time along the event horizon, their local energy is finite. We also extend these results to non-axisymmetric solutions on slowly rotating extremal Kerr-Newman black holes. These results are the analogues of results obtained in [D. Gajic, Linear waves in the interior of extremal black holes I, Communications in Mathematical Physics 353 (2017), no. 2, 717–770] for extremal Reissner-Nordström and stand in stark contrast to previously established results for the subextremal case, where the local energy was shown to generically blow up at the Cauchy horizon.
dc.description.sponsorshipThis work was supported by the European Research Council grant no. ERC-2011-StG 279363-HiDGR.
dc.languageengen
dc.publisherSpringer Nature
dc.rightsAttribution 4.0 International*
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleLinear Waves in the Interior of Extremal Black Holes IIen
dc.typeArticle
prism.endingPage4081
prism.issueIdentifier12en
prism.publicationDate2017en
prism.publicationNameAnnales Henri Poincareen
prism.startingPage4005
prism.volume18en
dc.identifier.doi10.17863/CAM.18599
dcterms.dateAccepted2017-09-04en
rioxxterms.versionofrecord10.1007/s00023-017-0614-xen
rioxxterms.versionVoR*
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/en
rioxxterms.licenseref.startdate2017-12-01en
dc.contributor.orcidGajic, Dejan [0000-0002-8194-7145]
dc.identifier.eissn1424-0661
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (1197314)
cam.issuedOnline2017-10-22en
dc.identifier.urlhttp://rdcu.be/F9jRen
cam.orpheus.successThu Jan 30 13:01:29 GMT 2020 - The item has an open VoR version.*
rioxxterms.freetoread.startdate2100-01-01


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Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International