Noncommutative 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.

Author: Matilde Marcolli

Publisher: World Scientific Publishing Company

Publication Date: Feb 09, 2018

Number of Pages: NA pages

Language: English

Binding: Hardcover

ISBN-10: 9813202831

ISBN-13: 9789813202832