| Author: | Matilde Marcolli | ISBN: | 9789813202863 |
| Publisher: | World Scientific Publishing Company | Publication: | December 26, 2017 |
| Imprint: | WSPC | Language: | English |
| Author: | Matilde Marcolli |
| ISBN: | 9789813202863 |
| Publisher: | World Scientific Publishing Company |
| Publication: | December 26, 2017 |
| Imprint: | WSPC |
| Language: | English |
Modified gravity models play an important role in contemporary theoretical cosmology. The present book proposes a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. The book discusses applications to early universe models and slow-roll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology.
Relations between noncommutative and algebro-geometric methods in cosmology is also discussed, including the occurrence of motives, periods, and modular forms in spectral models of gravity.
Contents:
- Preface
- Acknowledgments
- Gravity and Matter in Noncommutative Geometry
- Renormalization Group Flows and Early Universe Models
- Cosmic Topology
- Algebro-geometric Models in Cosmology
- Mixmaster Cosmologies
- The Spectral Action on Bianchi IX Cosmologies
- Motives and Periods in Cosmology
- Fractal and Multifractal Structures in Cosmology
- Noncommutative Quantum Cosmology
- Bibliography
- Index
Readership: Graduate students and researchers in mathematical physics and theoretical cosmology.
Key Features:
- While there are recent books that focus on applications of noncommutative geometry to particle physics models, there is presently no other book that focuses on applications to cosmology
Modified gravity models play an important role in contemporary theoretical cosmology. The present book proposes a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. The book discusses applications to early universe models and slow-roll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology.
Relations between noncommutative and algebro-geometric methods in cosmology is also discussed, including the occurrence of motives, periods, and modular forms in spectral models of gravity.
Contents:
- Preface
- Acknowledgments
- Gravity and Matter in Noncommutative Geometry
- Renormalization Group Flows and Early Universe Models
- Cosmic Topology
- Algebro-geometric Models in Cosmology
- Mixmaster Cosmologies
- The Spectral Action on Bianchi IX Cosmologies
- Motives and Periods in Cosmology
- Fractal and Multifractal Structures in Cosmology
- Noncommutative Quantum Cosmology
- Bibliography
- Index
Readership: Graduate students and researchers in mathematical physics and theoretical cosmology.
Key Features:
- While there are recent books that focus on applications of noncommutative geometry to particle physics models, there is presently no other book that focuses on applications to cosmology
