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dc.contributor.authorBlitz, Samuel
dc.contributor.authorMcNutt, David Duncan
dc.date.accessioned2024-09-20T11:04:04Z
dc.date.available2024-09-20T11:04:04Z
dc.date.issued2024-06-04
dc.description.abstractMotivated by the thermodynamics of black hole solutions conformal to stationary solutions, we study the geometric invariant theory of null hypersurfaces. It is wellknown that a null hypersurface in a Lorentzian manifold can be treated as a Carrollian geometry. Additional structure can be added to this geometry by choosing a connection which yields a Carrollian manifold. In the literature various authors have introduced Koszul connections to study the study the physics on these hypersurfaces. In this paper we examine the various Carrollian geometries and their relationship to null hypersurface embeddings. We specify the geometric data required to construct a rigid Carrollian geometry, and we argue that a connection with torsion is the most natural object to study Carrollian manifolds. We then use this connection to develop a hypersurface calculus suitable for a study of intrinsic and extrinsic differential invariants on embedded null hypersurfaces; motivating examples are given, including geometric invariants preserved under conformal transformations.en_US
dc.identifier.citationBlitz, McNutt. Horizons that gyre and gimble: a differential characterization of null hypersurfaces. European Physical Journal C. 2024;84(6)en_US
dc.identifier.cristinIDFRIDAID 2278845
dc.identifier.doi10.1140/epjc/s10052-024-12919-y
dc.identifier.issn1434-6044
dc.identifier.issn1434-6052
dc.identifier.urihttps://hdl.handle.net/10037/34809
dc.language.isoengen_US
dc.publisherSpringer Natureen_US
dc.relation.journalEuropean Physical Journal C
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2024 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.titleHorizons that gyre and gimble: a differential characterization of null hypersurfacesen_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)
Med mindre det står noe annet, er denne innførselens lisens beskrevet som Attribution 4.0 International (CC BY 4.0)