Eur. Phys. J. C (2015) 75: 502
https://doi.org/10.1140/epjc/s10052-015-3729-6

Regular Article - Theoretical Physics

Noncommutative de Sitter and FRW spaces

¹ Faculty of Physics, University of Belgrade, P.O. Box 44, Belgrade, 11001, Serbia
² Laboratoire de Physique Théorique, 91405, Orsay, France

^* e-mail: majab@ipb.ac.rs

Received: 27 August 2015
Accepted: 9 October 2015
Published online: 24 October 2015

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.