Singularities and Quantum Gravity
by Martin Bojowald
Publisher: arXiv 2007
Number of pages: 41
In these lectures we present an overview of the current status of singularities in classical and quantum gravity, starting with a review and interpretation of the classical singularity theorems. This suggests possible routes for quantum gravity to evade the devastating conclusion of the theorems by different means, including modified dynamics or modified geometrical structures underlying quantum gravity.
Home page url
Download or read it online for free here:
by Simone Mercuri - arXiv
After a description of some general arguments and an introduction to the canonical theory of gravity, the author reviews the background independent approach to quantum gravity, giving only a brief survey of Loop Quantum Gravity.
by Bryce S. DeWitt, Giampiero Esposito - arXiv
The reader is introduced to the functional integral quantization of gravitation and Yang-Mills theory. The text is useful for all Ph.D. students who face the task of learning some basic concepts in quantum gravity in a relatively short time.
by Alejandro Perez - arXiv
In this article we review the present status of the spin foam formulation of non-perturbative quantum gravity. In the first part we present a general introduction to the main ideas emphasizing their motivations from various perspectives.
by Thomas Thiemann - arXiv
This is an introduction to canonical quantum general relativity, an attempt to define a mathematically rigorous, non-perturbative, background independent theory of Lorentzian quantum gravity in four spacetime dimensions in the continuum.