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Πεδίο DCΤιμήΓλώσσα
dc.contributor.authorGravanis, Elias-
dc.contributor.authorWillison, Steven-
dc.date.accessioned2019-07-02T06:26:09Z-
dc.date.available2019-07-02T06:26:09Z-
dc.date.issued2009-12-
dc.identifier.citationJournal of Mathematical Physics, 2009, vol. 50, no. 12, pp. 122505-1-122505-32en_US
dc.identifier.issn10897658-
dc.identifier.urihttps://hdl.handle.net/20.500.14279/14235-
dc.description.abstractSuppose a Lagrangian is constructed from its fields and their derivatives. When the field configuration is a distribution, it is unambiguously defined as the limit of a sequence of smooth fields. The Lagrangian may or may not be a distribution, depending on whether there is some undefined product of distributions. Supposing that the Lagrangian is a distribution, it is unambiguously defined as the limit of a sequence of Lagrangians. But there still remains the question: Is the distributional Lagrangian uniquely defined by the limiting process for the fields themselves? In this paper a general geometrical construction is advanced to address this question. We describe certain types of singularities, not by distribution valued tensors, but by showing that the action functional for the singular fields is (formally) equivalent to another action built out of \emph{smooth} fields. Thus we manage to make the problem of the lack of a derivative disappear from a system which gives differential equations. Certain ideas from homotopy and homology theory turn out to be of central importance in analyzing the problem and clarifying finer aspects of it. The method is applied to general relativity in first order formalism, which gives some interesting insights into distributional geometries in that theory. Then more general gravitational Lagrangians in first order formalism are considered such as Lovelock terms (for which the action principle admits space-times more singular than other higher curvature theories).en_US
dc.formatpdfen_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Mathematical Physicsen_US
dc.rights© American Institute of Physicsen_US
dc.subjectGravitationen_US
dc.subjectAlgebraen_US
dc.subjectCosmological constanten_US
dc.titleSingular sources in gravity and homotopy in the space of connectionsen_US
dc.typeArticleen_US
dc.collaborationCentro de Estudios Científicos (CECS)en_US
dc.collaborationCyprus University of Technologyen_US
dc.subject.categoryPhysical Sciencesen_US
dc.journalsSubscriptionen_US
dc.countryChileen_US
dc.countryCyprusen_US
dc.subject.fieldNatural Sciencesen_US
dc.publicationPeer Revieweden_US
dc.identifier.doi10.1063/1.3250196en_US
dc.identifier.scopus2-s2.0-73949144077-
dc.identifier.urlhttp://arxiv.org/abs/0901.1079v1-
dc.relation.issue12en_US
dc.relation.volume50en_US
cut.common.academicyear2009-2010en_US
dc.identifier.spage122505-1en_US
dc.identifier.epage122505-32en_US
item.fulltextNo Fulltext-
item.languageiso639-1en-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.cerifentitytypePublications-
item.openairetypearticle-
crisitem.journal.journalissn1089-7658-
crisitem.journal.publisherAmerican Institute of Physics-
crisitem.author.deptDepartment of Civil Engineering and Geomatics-
crisitem.author.facultyFaculty of Engineering and Technology-
crisitem.author.orcid0000-0002-5331-6661-
crisitem.author.parentorgFaculty of Engineering and Technology-
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