Notes On Conservation Laws, Equations Of Motion Of Matter, And Particle Fields In Lorentzian And Teleparallel De Sitter Space-time Structures

dc.creatorRodrigues
dc.creatorWaldyr A.; Wainer
dc.creatorSamuel A.
dc.date2016
dc.date2017-11-13T13:23:59Z
dc.date2017-11-13T13:23:59Z
dc.date.accessioned2018-03-29T05:56:32Z
dc.date.available2018-03-29T05:56:32Z
dc.identifierAdvances In Mathematical Physics. Hindawi Publishing Corp, p. , 2016.
dc.identifier1687-9120
dc.identifier1687-9139
dc.identifierWOS:000390132400001
dc.identifier10.1155/2016/5465263
dc.identifierhttps://www.hindawi.com/journals/amp/2016/5465263/
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/328207
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1365232
dc.descriptionWe discuss the physics of interacting fields and particles living in a de Sitter Lorentzian manifold (dSLM), a submanifold of a 5-dimensional pseudo-Euclidean (5dPE) equipped with a metric tensor inherited from the metric of the 5dPE space. The dSLM is naturally oriented and time oriented and is the arena used to study the energy-momentum conservation law and equations of motion for physical systems living there. Two distinct de Sitter space-time structures M-dSL and M-dSTP are introduced given dSLM, the first equipped with the Levi-Civita connection of its metric field and the second with a metric compatible parallel connection. Both connections are used only as mathematical devices. Thus, for example, M-dSL is not supposed to be the model of any gravitational field in the General Relativity Theory (GRT). Misconceptions appearing in the literature concerning the motion of free particles in dSLM are clarified. Komar currents are introduced within Clifford bundle formalism permitting the presentation of Einstein equation as a Maxwell like equation and proving that in GRT there are infinitely many conserved currents. We prove that in GRT even when the appropriate Killing vector fields exist it is not possible to define a conserved energy-momentum covector as in special relativistic theories.
dc.languageEnglish
dc.publisherHindawi Publishing Corp
dc.publisherNew York
dc.relationAdvances in Mathematical Physics
dc.rightsaberto
dc.sourceWOS
dc.titleNotes On Conservation Laws, Equations Of Motion Of Matter, And Particle Fields In Lorentzian And Teleparallel De Sitter Space-time Structures
dc.typeArtículos de revistas


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