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Generalized symmetries and invariant matter couplings in two-dimensional dilaton gravity

AuthorsNavarro Navarro, Miguel
Keywords[PACS] Lower dimensional models
minisuperspace models
[PACS] Gravity in more than four dimensions, Kaluza-Klein theory, unified field theories, alternative theories of gravity
[PACS] Symmetry and conservation laws
Issue Date1997
PublisherAmerican Physical Society
CitationPhysical Review D - Particles, Fields, Gravitation and Cosmology 56: 2384- 2389 (1997)
AbstractNew features of the generalized symmetries of generic two-dimensional dilaton models of gravity are presented and invariant gravity-matter couplings are introduced. We show that there is a continuum set of Noether symmetries, which contains half a DeWitt algebra. Two of these symmetries are area-preserving transformations. We show that gravity-matter couplings which are invariant under area preserving transformations only contribute to the dynamics of the dilaton-gravity sector with a reshaping of the dilaton potential. The interaction with matter by means of invariant metrics is also considered. We show in a constructive way that there are metrics which are invariant under two of the symmetries. The most general metrics and minimal couplings that satisfy this condition are found. © 1997 The American Physical Society
Identifiersdoi: 10.1103/PhysRevD.56.2384
issn: 0556-2821
Appears in Collections:(CFMAC-IFF) Artículos
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