Abstract
We propose a systematic study of event horizons and naked singularities in general relativity, aiming a better and deeper mathematical understanding about the cosmic censorship conjecture and the Penrose-Hawking singularity theorems. (AU)
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Vladmir Sicca Gonçalves
CV Lattes
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Bachelor in Mathematics and Master in Mathematics at State University of Campinas (Unicamp) and PhD in Mathematics by McGill University. (Source: Lattes Curriculum)
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Scholarships in Brazil
- Event horizons and naked singularities: mathematical classification and physical properties, BP.MS
- Gauss-Bonnet Theorem: curved geometry and the Euler characteristic, BP.IC
Abstract
The goal of this project is to study the rigorous definition of the Euler characteristic while studying the basic concepts of differential geometry needed for the global understanding of the Gauss-Bonnet theorem.(AU)
Scholarships abroad
- Geometrical and topological properties of horizons in General Relativity, BE.EP.MS
Abstract
Horizons are essential specialized surfaces for the causal characterization of spacetimes in General Relativity. This project consists in a study on the possible geometric and topological classification of horizons, aiming a better understanding of their roles in the Physics and Mathematics of spacetime.
Total / Available in English
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 3 / 3 | All Scholarships |
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