The Rigging Technique for Null Hypersurfaces

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dc.contributor.authorGutiérrez, Manuel
dc.contributor.authorOlea, Benjamín
dc.date.accessioned2022-04-22T14:56:22Z
dc.date.available2022-04-22T14:56:22Z
dc.date.issued2021-10-29
dc.descriptionNull hypersurfaces are present in general relativity in several fundamental theories. For example, the thermodynamic of black holes stated an unexpected link between classical thermodynamic theory and black hole theory using the horizon of the black hole, which is a null hypersurface [1–3].en_US
dc.description.abstractStarting from the main definitions, we review the rigging technique for null hypersurfaces theory and most of its main properties. We make some applications to illustrate it. On the one hand, we show how we can use it to show properties of null hypersurfaces, with emphasis in null cones, totally geodesic, totally umbilic, and compact null hypersurfaces. On the other hand, we show the interplay with the ambient space, including its influence in causality theory.en_US
dc.description.sponsorshipUniversidad de Málaga grant number UMA18-FEDERJA-183 and Ministry of Sciences and Innovation (MICINN) I+D+I, grant number PID2020-118452GB-I00. World Bank.en_US
dc.identifier.citationGutiérrez, M., Olea, B. (2021). The Rigging Technique for Null Hypersurfaces. Pg 1-35. https://doi.org/10.3390/ axioms10040284en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1426
dc.language.isoenen_US
dc.publisherMDPI, Basel, Switzerland.en_US
dc.relation.ispartofserieshttps://doi.org/10.3390/ axioms10040284;35
dc.subjectLorentzian manifolden_US
dc.subjectnull hypersurfaceen_US
dc.subjectrigging techniqueen_US
dc.subjectrigged vector fielden_US
dc.subjectnull coneen_US
dc.titleThe Rigging Technique for Null Hypersurfacesen_US
dc.typeArticleen_US
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