Dinâmica de campos escalares em espaço-tempo esfericamente simétrico: condições de calibre maximal slicing e K-driver

Abstract

The dynamic of spherically symmetric space-times has a huge interest in General Relativity. In this work, we used the Galerkin-Collocation method to obtain the nonlinear evolution of self-gravitating scalar fields. This is crucial for the study of critical phenomena of gravitational collapse. We study the evolution for scalar fields with and without λϕ4 potencial and we verified the consequences for each field. For the field without potencial, we investigate the solution for the dispersion and collapse case for two gauge choices: maximal slicing and K-driver. For the potential field, using only the maximal slicing gauge, we investigate the evolution that leads to the formation of long-lived and oscillating structures, called oscillons.