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.
ISBN: | 9789813202849 |
Publication date: | 9th February 2018 |
Author: | Matilde (California Inst Of Tech, Usa) Marcolli |
Publisher: | World Scientific Publishing Co Pte Ltd |
Format: | Paperback |
Pagination: | 292 pages |
Genres: |
Cosmology and the universe |