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dc.contributor.authorPrinz, David Nicolas
dc.contributor.authorSchmeding, Alexander
dc.date.accessioned2022-11-10T11:47:34Z
dc.date.available2022-11-10T11:47:34Z
dc.date.created2022-06-10T17:12:23Z
dc.date.issued2022
dc.identifier.citationPrinz, D. N. & Schmeding, A. (2022). Lie theory for asymptotic symmetries in general relativity: The NU group. Classical and Quantum Gravity, 39(15). doi:en_US
dc.identifier.issn1361-6382
dc.identifier.urihttps://hdl.handle.net/11250/3031145
dc.description.abstractWe study the Newman--Unti (NU) group from the viewpoint of infinite-dimensional geometry. The NU group is a topological group in a natural coarse topology, but it does not become a manifold and hence a Lie group in this topology. To obtain a manifold structure we consider a finer Whitney-type topology. This turns the unit component of the NU group into an infinite-dimensional Lie group. We then study the Lie theoretic properties of this group. Surprisingly, the group operations of the full NU group become discontinuous, whence the NU group does not support a Lie group structure. The NU group contains the Bondi--Metzner--Sachs (BMS) group as a subgroup, whose Lie group structure was constructed in a previous article. The lack of a Lie group structure on the NU group implies that, despite the known splitting of the NU Lie algebra into a direct sum of Lie ideals of the Lie algebras of the BMS group and conformal rescalings, the BMS group cannot be embedded as a Lie subgroup into the NU group.en_US
dc.description.abstractLie theory for asymptotic symmetries in general relativity: The NU groupen_US
dc.language.isoengen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.subjectRelativitetsteorien_US
dc.subjectTheory of relativityen_US
dc.subjectLie grupperen_US
dc.subjectLie groupsen_US
dc.titleLie theory for asymptotic symmetries in general relativity : The NU groupen_US
dc.title.alternativeLie theory for asymptotic symmetries in general relativity: The NU groupen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.rights.holder© The Authors, 2022en_US
dc.subject.nsiVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.subject.nsiVDP::Matematikk og Naturvitenskap: 400::Fysikk: 430en_US
dc.subject.nsiVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Anvendt matematikk: 413en_US
dc.source.pagenumber31en_US
dc.source.volume39en_US
dc.source.journalClassical and Quantum Gravityen_US
dc.source.issue15en_US
dc.identifier.doi10.1088/1361-6382/ac776c
dc.identifier.cristin2030930


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Navngivelse 4.0 Internasjonal
Except where otherwise noted, this item's license is described as Navngivelse 4.0 Internasjonal