Vector theories in cosmology

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dc.contributor.authorEsposito-Farèse, Gilles
dc.contributor.authorPitrou, Cyril
dc.contributor.authorUzan, Jean-Philippe
dc.date.accessioned2021-10-08T07:11:31Z
dc.date.available2021-10-08T07:11:31Z
dc.date.issued2010
dc.description.abstractThis article provides a general study of the Hamiltonian stability and the hyperbolicity of vector field models involving both a general function of the Faraday tensor and its dual, $f(F2,Ftilde F)$, as well as a Proca potential for the vector field, $V(A2)$. In particular it is demonstrated that theories involving only $f(F2)$ do not satisfy the hyperbolicity conditions. It is then shown that in this class of models, the cosmological dynamics always dilutes the vector field. In the case of a nonminimal coupling to gravity, it is established that theories involving $R f(A2)$ or $Rf(F2)$ are generically pathologic. To finish, we exhibit a model where the vector field is not diluted during the cosmological evolution, because of a nonminimal vector field-curvature coupling which maintains second-order field equations. The relevance of such models for cosmology is discussed. Comment: 17 pages, no figure
dc.identifier.apacitationEsposito-Farèse, G., Pitrou, C., & Uzan, J. (2010). Vector theories in cosmology. <i>Physical Review D - Particles and Fields</i>, 81(6), 174 - 177. http://hdl.handle.net/11427/34631en_ZA
dc.identifier.chicagocitationEsposito-Farèse, Gilles, Cyril Pitrou, and Jean-Philippe Uzan "Vector theories in cosmology." <i>Physical Review D - Particles and Fields</i> 81, 6. (2010): 174 - 177. http://hdl.handle.net/11427/34631en_ZA
dc.identifier.citationEsposito-Farèse, G., Pitrou, C. & Uzan, J. 2010. Vector theories in cosmology. <i>Physical Review D - Particles and Fields.</i> 81(6):174 - 177. http://hdl.handle.net/11427/34631en_ZA
dc.identifier.issn0556-2821
dc.identifier.issn1089-4918
dc.identifier.ris TY - Journal Article AU - Esposito-Farèse, Gilles AU - Pitrou, Cyril AU - Uzan, Jean-Philippe AB - This article provides a general study of the Hamiltonian stability and the hyperbolicity of vector field models involving both a general function of the Faraday tensor and its dual, $f(F2,Ftilde F)$, as well as a Proca potential for the vector field, $V(A2)$. In particular it is demonstrated that theories involving only $f(F2)$ do not satisfy the hyperbolicity conditions. It is then shown that in this class of models, the cosmological dynamics always dilutes the vector field. In the case of a nonminimal coupling to gravity, it is established that theories involving $R f(A2)$ or $Rf(F2)$ are generically pathologic. To finish, we exhibit a model where the vector field is not diluted during the cosmological evolution, because of a nonminimal vector field-curvature coupling which maintains second-order field equations. The relevance of such models for cosmology is discussed. Comment: 17 pages, no figure DA - 2010 DB - OpenUCT DP - University of Cape Town IS - 6 J1 - Physical Review D - Particles and Fields LK - https://open.uct.ac.za PY - 2010 SM - 0556-2821 SM - 1089-4918 T1 - Vector theories in cosmology TI - Vector theories in cosmology UR - http://hdl.handle.net/11427/34631 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/34631
dc.identifier.vancouvercitationEsposito-Farèse G, Pitrou C, Uzan J. Vector theories in cosmology. Physical Review D - Particles and Fields. 2010;81(6):174 - 177. http://hdl.handle.net/11427/34631.en_ZA
dc.language.isoeng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.sourcePhysical Review D - Particles and Fields
dc.source.journalissue6
dc.source.journalvolume81
dc.source.pagination174 - 177
dc.source.urihttps://dx.doi.org/10.1103/PhysRevD.81.063519
dc.subject.otherphysics of elementary particles and fields
dc.subject.otherastrophysics
dc.subject.othercosmology and astronomy
dc.subject.othercosmology
dc.subject.othercoupling
dc.subject.otherfield equations
dc.subject.othergravitation
dc.subject.otherhamiltonians
dc.subject.otherpotentials
dc.subject.othersimulation
dc.subject.otherstability
dc.subject.othervector fields equations
dc.subject.othermathematical operators
dc.subject.otherquantum operators *No appropriate version for sharing*
dc.titleVector theories in cosmology
dc.typeJournal Article
uct.type.publicationResearch
uct.type.resourceJournal Article
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