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AbstractAbstract
[en] The S3xR and H3xR Lie groups are characterized, and using continuous deformations of S3 and H3 subgroups algebra, Lorentz space-time metrics with gE left invariance and gD right invariance are introduced. The topology of sections of these space-time is investigated and its relation with global causality problems is shown. In the search of gE and gD isometries, it is shown that in the class of metrics associated to H3xR topology, there is a particular case which accepts a G7 group of isometries. It is shown that the gE and gD metrics characterize universes which vortices of cosmological fluid (when it is present), in relation to the inertial compass, are opposite. In the particular coordinate system, that is used, these metrics differs only by a coordinate inversion transformation. Neutrinos interacting with the geometry of these spaces times is considered. It is shown that the physical transformation which consists in to reverse the universe rotation and to reverse a determined component of neutrino momentum, leads the universe with gE (gD) metric containing neutrinos, with determined helicity, to another one with gD (gE)metric containing neutrinos, with opposite helicity from the original. Thus, neutrinos can be used to distinguish physically these two universes, supposing that in a given universe neutrinos there is always a type of helicity. (M.C.K.)
[pt]
Caracterizam-se os grupos de Lie S3xR e H3xR e, por de formacoes continuas das algebras dos subgrupos S3 e H3, introduzem-se metricas de espacos-tempos Lorentzianos, invariantes a esquerda gE e invariantes a direita gD. A topologia de seccoes destes espacos-tempos e examinada e mostra-se sua relacao com problemas globais de causalidade. No exame das isometrias de gE e gD, mostra-se que na classe de metricas associadas a topologia H3xR, existe um caso particular que admite um grupo G7 de isometrias. Mostra-se que as metricas gE e gD caracterizam universos nos quais as vorticidades do fluido cosmologico (quando presente), em relacao a bussola inercial, sao opostas. No particular sistema de coordenadas que e utilizado, estas metricas diferem somente por uma transformacao de inversao de coordenadas. Consideram-se em seguida neutrinos em interacao com a geometria destes espacos-tempos. Mostra-se entao, que a transformacao fisica que consiste em inverter a rotacao do universo e inverter uma determinada componente de momentum dos neutrinos, leva um universo com metrica gE (gD) contendo neutrinos, com uma dada helicidade, a outro com metrica gD (gE) contendo neutrinos, agora com helicidade oposta a original. Assim, neutrinos podem ser utilizados para distinguir fisicamente estes dois universos, supondo que num dado universo neutrinos tenham sempre um tipo de helicidade. (autor)Original Title
Simetrias, problemas de causalidade e campos de neutrinos em universos antipodas
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Source
1986; 109 p; Tese (M.Sc.).
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Miscellaneous
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Thesis/Dissertation
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