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| Author(s): |
Ronaldo Savioli Sumé Vieira
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2010-03-22 |
| Examining board members: |
Patricio Anibal Letelier Sotomayor;
Vilson Tonin Zanchin;
Rafael de Freitas Leão
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| Advisor: | Patricio Anibal Letelier Sotomayor |
| Abstract | |
In this work we study Lorentzian metrics and the theory of linear connections on smooth manifolds, focusing on Weyl manifolds with lorentzian metrics and Weyl connections. We also analyze some physical theories based on this geometry, extending to these theories the Kuzmin model for a thin disk of matter. From this study and from the newtonian limit of the theories, we examine if these results supply the necessity of the presence of dark matter in spiral galaxies to explain the observed rotation curves (AU) | |
| FAPESP's process: | 07/06839-1 - Non-riemannian geometries and dark matter |
| Grantee: | Ronaldo Savioli Sumé Vieira |
| Support Opportunities: | Scholarships in Brazil - Master |