Singularidades no espaço-tempo de Schwarzschild em gravitação quântica de Wheeler-DeWitt: uma abordagem via interpretação de de Broglie-Bohm

Abstract

This dissertation investigates the problem of the singularity inside the Schwarzschild black hole in the context of canonical quantum gravity. The work presents a review of the ADM formalism and the Wheeler–DeWitt equation, with a focus on the quantization of minisuperspace models. Then, the causal interpretation of de Broglie–Bohm is used to analyze the quantum dynamics of a model associated with the Schwarzschild black hole. The results indicate that the quantum potential may become dominant in the vicinity of the classical singularity, in such a way to eliminate it. In the limit in which quantum effects become negligible, the expected classical behavior is recovered. These results suggest that the adopted approach provides a relevant framework for the elimination of singularities in black holes.