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dc.contributor.authorMcNutt, David Duncan
dc.contributor.authorColey, A.A.
dc.contributor.authorVan Den Hoogen, Den
dc.date.accessioned2023-08-14T09:14:50Z
dc.date.available2023-08-14T09:14:50Z
dc.date.issued2023-03-24
dc.description.abstractA frame approach to determining the most general solution admitting a desired symmetry group has previously been examined in Riemannian and teleparallel geometries with some success. In teleparallel geometries, one must determine the general form of the frame and spin connection to generate a general solution admitting the desired symmetry group. Current approaches often rely on the use of the proper frame, where the spin connection is zero. However, this leads to particular theoretical and practical problems. In this paper, we introduce an entirely general approach to determining the most general Riemann–Cartan geometries that admit a given symmetry group and apply these results to teleparallel geometries. To illustrate the approach, we determine the most general geometries, with the minimal number of arbitrary functions, for particular choices of symmetry groups with dimension one, three, six, and seven. In addition, we rigorously show how the teleparallel analog of the Robertson–Walker, de Sitter, and Einstein static spacetimes can be determined.en_US
dc.identifier.citationMcNutt, Coley, Van Den Hoogen. A frame based approach to computing symmetries with non-trivial isotropy groups. Journal of Mathematical Physics. 2023;64(3)en_US
dc.identifier.cristinIDFRIDAID 2158716
dc.identifier.doi10.1063/5.0134596
dc.identifier.issn0022-2488
dc.identifier.issn1089-7658
dc.identifier.urihttps://hdl.handle.net/10037/29900
dc.language.isoengen_US
dc.publisherAIP Publishingen_US
dc.relation.journalJournal of Mathematical Physics
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2023 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.titleA frame based approach to computing symmetries with non-trivial isotropy groupsen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)