DE SITTER TRANSITIVITY, CONFORMAL TRANSFORMATIONS AND CONSERVATION LAWS
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Data
2014-04-01
Autores
Pereira, J. G. [UNESP]
Sampson, A. C. [UNESP]
Savi, L. L. [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
World Scientific Publ Co Pte Ltd
Resumo
Minkowski spacetime is transitive under ordinary translations, a transformation that do not have matrix representations. The de Sitter spacetime, on the other hand, is transitive under a combination of translations and proper conformal transformations, which do have a matrix representation. Such matrix, however, is not by itself a de Sitter generator: it gives rise to a conformal re-scaling of the metric, a transformation not belonging to the de Sitter group, and in general not associated with diffeomorphisms in spacetime. When dealing with variational principles and Noether's theorem in de Sitter spacetime, it is necessary to regularize the transformations in order to eliminate the conformal re-scaling of the metric.
Descrição
Palavras-chave
de Sitter spacetime, de Sitter transitivity, motion in de Sitter spacetime
Como citar
International Journal Of Modern Physics D. Singapore: World Scientific Publ Co Pte Ltd, v. 23, n. 4, 11 p., 2014.