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De sitter relativity: foundationss and some physical implications

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Author(s):
Cristhian Said Osorio Mayor
Total Authors: 1
Document type: Doctoral Thesis
Press: São Paulo. 2014-06-11.
Institution: Universidade Estadual Paulista (Unesp). Instituto de Física Teórica (IFT). São Paulo
Defense date:
Advisor: José Geraldo Pereira
Abstract

The presence of a cosmological constant, interpreted as a purely geometric entity, absence of matter ir represented by a de Sitter spacetime. As a consequence, ordinary Poincaré specil relativity is no longer valid and must be replaced by a special relativity based on the de Sitter group, which produces concomitant changes in all areas of physics. In this thesis, we are going to explore the implications for the dark energy problem, for the propagation of ultra high-energy gamma rays, and for the Compton scattering formula. As a byoproduct of these studies, we developed a new method for obtaining conformal invariant fiels equations, which makes use of the Casimir operators of the de Sitter group. Using this new method, we make a critical review of the fiels equations describing a fundamental spin-2 field (AU)

FAPESP's process: 07/07078-4 - De Sitter special relativity: foundations and physical applications
Grantee:Cristhian Said Osorio Mayor
Support Opportunities: Scholarships in Brazil - Doctorate