Bianchi spacetimes in noncommutative phase-space

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.

19 pages, 2 figures, to appear in Class. Quantum Grav

References in corpus (36)

• String Theory and Noncommutative Geometry
• M Theory As A Matrix Model: A Conjecture
• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Noncommutative Perturbative Dynamics
• Noncommutative Field Theory and Lorentz Violation
• Non-Commutative Quantum Mechanics
• Inflation as a Probe of Short Distance Physics
• Perturbation spectrum in inflation with cutoff
• Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and Density Fluctuations
• A Short Survey of Noncommutative Geometry
• Imprints of Short Distance Physics On Inflationary Cosmology
• Bounding Noncommutative QCD
• Noncommutative Quantum Cosmology
• On Quantum Mechanics on Noncommutative Quantum Phase Space
• Hyperbolic Space Cosmologies
• Cosmological perturbations and short distance physics from Noncommutative Geometry
• Noncommutative Geometry and Cosmology
• Noether symmetries in Bianchi universes
• Noncommutativity in Field Space and Lorentz Invariance Violation
• Star Operation in Quantum Mechanics
• Supersymmetric Noncommutative QED and Lorentz Violation
• Quantum Theory of Noncommutative Fields
• Newton's Second Law in a Noncommutative Space
• Multidimensional Classical and Quantum Wormholes in Models with Cosmological Constant
• An introduction to quantum cosmology
• Noncommutative Conformally Coupled Scalar Field Cosmology and its Commutative Counterpart
• Symmetries of Bianchi I space-times
• Non-commutative multi-dimensional cosmology
• The Bianchi Type I minisuperspace model
• Bianchi-I classical and quantum spinor cosmology with signature change
• Conditional Symmetries and the Quantization of Bianchi Type I Vacuum Cosmologies with and without Cosmological Constant
• Nonpertubative Effects of Extreme Localization in Noncommutative Geometry
• Noncommutativity in quantum cosmology and the Hierarchy problem
• Noncommutative Cosmology
• Quantum Cosmology for the General Bianchi Type II, VI(Class A) and VII(Class A) vacuum geometries

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