NONCOMMUTATIVE MIXMASTER COSMOLOGIES

DOI10.1142/S0219887812500867zbMath1261.83044arXiv1203.2679OpenAlexW2963456450MaRDI QIDQ4910905

Christopher Estrada, Matilde Marcolli

Publication date: 13 March 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2679

zbMATH Keywords

spectral actionnoncommutative torianisotropic cosmologymixmaster universeslow-roll inflationnoncommutative 3-tori

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Noncommutative differential geometry (46L87) Methods of noncommutative geometry in general relativity (83C65) Noncommutative geometry (à la Connes) (58B34) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Astrophysical cosmology (85A40)

Related Items (4)

Rationality of spectral action for Robertson-Walker metrics ⋮ Spectral action for Bianchi type-IX cosmological models ⋮ Symbolic dynamics, modular curves, and Bianchi IX cosmologies ⋮ Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics

Cites Work

• Early universe models from noncommutative geometry
• Supersymmetric QCD and noncommutative geometry
• The spectral action and cosmic topology
• Gravity coupled with matter and the foundation of non-commutative geometry
• A classification of some noncommutative tori
• On spin structures and Dirac operators on the noncommutative torus
• Strong Morita equivalence of higher-dimensional noncommutative tori. II
• The uncanny precision of the spectral action
• C*-algebras associated with irrational rotations
• An introduction to 3D discrete magnetic Laplacians and noncommutative 3-tori
• Continued fractions, modular symbols, and noncommutative geometry
• Heat kernel and number theory on NC-torus
• Morita equivalence of smooth noncommutative tori
• Gravity and the standard model with neutrino mixing
• EXOTIC SMOOTHNESS IN FOUR DIMENSIONS AND EUCLIDEAN QUANTUM GRAVITY
• Modular Curves, C*-algebras, and Chaotic Cosmology
• CLASSICAL AND QUANTUM FEATURES OF THE MIXMASTER SINGULARITY
• MORITA EQUIVALENCE OF MULTIDIMENSIONAL NONCOMMUTATIVE TORI
• Cut-Down Method in the Inductive Limit Decomposition of Non-Commutative Tori
• The mixmaster universe in Hořava–Lifshitz gravity
• Noncommutative manifolds, the instanton algebra and isospectral deformations

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