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| Author(s): |
Vladmir Sicca Gonçalves
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: | 2017-05-29 |
| Examining board members: |
Alberto Vazquez Saa;
Rafael de Freitas Leão;
Carlos Henrique Grossi Ferreira
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| Advisor: | Alberto Vazquez Saa |
| Abstract | |
In this work we discuss the possibility of using Dynamical Systems as a tool to better understand Cauchy horizons in spacetimes. We make a review of the relationship between the behavior of the lightlike generators of horizons and their differentiability as a Lipschitz submanifold of the ambient spacetime in order to analyze the applicability of results in the stability of Dynamical Systems to the distribution of tangents to the generators. In the sequence we present a way to construct spacetimes with Cauchy horizons from a given compact manifold with a non-vanishing vector field. The needed requisites from Lorentzian Geometry are either presented or references are given in the text (AU) | |
| FAPESP's process: | 14/21302-8 - Event horizons and naked singularities: mathematical classification and physical properties |
| Grantee: | Vladmir Sicca Gonçalves |
| Support Opportunities: | Scholarships in Brazil - Master |