Noncommutative de Sitter and FRW spaces

Abstract

Several versions of fuzzy four-dimensional de Sitter space are constructed using the noncommutative frame formalism. Although all noncommutative spacetimes which are found have commutative de Sitter metric as a classical limit, the algebras and the differential calculi which define them have many differences which we derive and discuss.

20 pages

References in corpus (3)

• Covariant Non-Commutative Space-Time
• Spherically Symmetric Noncommutative Space: d = 4
• Metastring Theory and Modular Space-time

Cited by in corpus (4)

• Higher spin gauge theory on fuzzy $S_N^4$
• Gravity as a Gauge Theory on Three-Dimensional Noncommutative spaces
• Laplacian on fuzzy de Sitter space
• Gauge Theories on Fuzzy Spaces and Gravity