2008/12/01 by Claus Kiefer
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Differential geometry #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Open quantum system #Physics #Problem of time #Quantum #Quantum cosmology #Quantum dynamics #Quantum geometry #Quantum gravity #Quantum mechanics #Quantum operation #Quantum process #Semiclassical gravity #Semiclassical physics #Spacetime #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1007/s10714-008-0750-1
published as Gen.Rel.Grav.41:877-901,2009 · 25 pages; invited contribution for the Proceedings of the seminar "Quantum Gravity: Challenges and Perspectives", Bad Honnef, Germany, April 2008
arxiv created 2008/12/01 · openalex publication_date 2009/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Quantum geometrodynamics is canonical quantum gravity with the three-metric as the configuration variable. Its central equation is the Wheeler--DeWitt equation. Here I give an overview of the status of this approach. The issues discussed include the problem of time, the relation to the covariant theory, the semiclassical approximation as well as applications to black holes and cosmology. I conclude that quantum geometrodynamics is still a viable approach and provides insights into both the conceptual and technical aspects of quantum gravity.