Bianchi spacetimes in noncommutative phase space

2007/01/14 by Babak Vakili, B. Vakili, Nima Khosravi +3 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1088/0264-9381/24/4/013

published as Class.Quant.Grav.24:931-949,2007 · 19 pages, 2 figures, to appear in Class. Quantum Grav

arxiv created 2007/01/14 · openalex publication_date 2007/01/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

The effects of noncommutativity in the phase space of the classical and quantum cosmology of Bianchi models are investigated. Exact solutions in both commutative and noncommutative cases are presented and compared. Further, the Noether symmetries of the Bianchi class A spacetimes are studied in both cases and similarities and differences are discussed.

Citations

• Star Operation in Quantum Mechanics
• Supersymmetric noncommutative QED and Lorentz violation
• Quantum Cosmology. I
• Noncommutative Cosmology

Cited by

• Deformed phase space and canonical quantum cosmology
• COSMOLOGY WITH MINIMAL LENGTH UNCERTAINTY RELATIONS
• Noether symmetry in f(R) cosmology
• Dilaton cosmology, noncommutativity, and generalized uncertainty principle
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization