de Sitter geodesics: reappraising the notion of motion
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Data
2012-05-01
Autores
Pereira, J. G. [UNESP]
Sampson, A. C. [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Springer/plenum Publishers
Resumo
The de Sitter spacetime is transitive under a combination of translations and proper conformal transformations. Its usual family of geodesics, however, does not take into account this property. As a consequence, there are points in de Sitter spacetime which cannot be joined to each other by any one of these geodesics. By taking into account the appropriate transitivity properties in the variational principle, a new family of maximizing trajectories is obtained, whose members are able to connect any two points of the de Sitter spacetime. These geodesics introduce a new notion of motion, given by a combination of translations and proper conformal transformations, which may possibly become important at very-high energies, where conformal symmetry plays a significant role.
Descrição
Palavras-chave
de Sitter spacetime, Geodesics, Spacetime kinematics, Special relativity
Como citar
General Relativity and Gravitation. New York: Springer/plenum Publishers, v. 44, n. 5, p. 1299-1308, 2012.