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 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 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.
by Kristina Giesel, Hanno Sahlmann - arXiv
An introduction to the canonical quantization of gravity performed in loop quantum gravity. A special feature of this introduction is the inclusion of new proposals for coupling matter to gravity that can be used to deparametrize the theory.
by Martin Reuter, Frank Saueressig - arXiv
We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety program in Quantum Einstein Gravity. Using the continuum approach based upon the effective average action, we summarize the state of the art of the field.