Quantum Mechanical Effects in Gravitational Collapse

TL;DR

This thesis explores quantum effects in gravitational collapse using the Functional Schrödinger formalism, analyzing the evolution of a collapsing domain wall and induced radiation over time, and discussing potential backreaction effects.

Contribution

It introduces a time-dependent quantum analysis of gravitational collapse with the Functional Schrödinger formalism, extending beyond traditional static approaches.

Findings

Quantization of a spherically symmetric domain wall from different observer perspectives.

Time-dependent induced radiation during collapse.

Evolution of the domain wall's entropy over time.

Abstract

In this thesis we investigate quantum mechanical effects to various aspects of gravitational collapse. These quantum mechanical effects are implemented in the context of the Functional Schr\"odinger formalism. The Functional Schr\"odinger formalism allows us to investigate the time-dependent evolutions of the quantum mechanical effects, which is beyond the scope of the usual methods used to investigate the quantum mechanical corrections of gravitational collapse. Utilizing the time-dependent nature of the Functional Schr\"odinger formalism, we study the quantization of a spherically symmetric domain wall from the view point of an asymptotic and infalling observer, in the absence of radiation. To build a more realistic picture, we then study the time-dependent nature of the induced radiation during the collapse using a semi-classical approach. Using the domain wall and the induced radiation, we then study the time-dependent evolution of the entropy of the domain wall. Finally we make some remarks about the possible inclusion of backreaction into the system.