Noncommutative Cosmology
Noncommutative Cosmology
World Scientific | English | 2018 | ISBN-10: 9813202831 | 292 pages | PDF | 9.39 MB
World Scientific | English | 2018 | ISBN-10: 9813202831 | 292 pages | PDF | 9.39 MB
by Matilde Marcolli (Author)
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.
Readership: Graduate students and researchers in mathematical physics and theoretical cosmology