Comportamento assintótico na dinâmica cosmológica de um universo com anisotropia

Abstract

Cosmology is a science that brings together different tools from various areas of the exact sciences, in the search to understand better the physical event called "universe". In its most fundamental nuance, mathematics is of great importance, allowing, for example, the construction of cosmological models and the understanding of their temporal evolution. In this work we approach the models with Bianchi-type I spatial anisotropy, aiming to analyze the asymptotic behavior of the projection of the solutions of Einstein’s equations on Kasner’s disk in its polar form. We found a wide variety of possible asymptotic behaviors, for the most varied forms of matter present in the universe models.