Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space
- Department of Physics, Islamic Azad University, Chalous Branch, P.O. Box 46615-397, Chalous (Iran, Islamic Republic of)
- Department of Physics, Shahid Beheshti University, G. C., Evin, Tehran 19839 (Iran, Islamic Republic of)
We study the effects of noncommutativity, in the form of a Lie-algebraically deformed Poisson commutation relations, on the evolution of a Bianchi type I cosmological model with a positive cosmological constant. The phase space variables turn out to correspond to the scale factors of this model in x, y, and z directions. According to the conditions that the structure constants (deformation parameters) should satisfy, we argue that there are two types of noncommutative phase space with Lie-algebraic structure. The exact classical solutions in commutative and type I noncommutative cases are presented. In the framework of this type of deformed phase space, we investigate the possibility of building a Bianchi I model with cyclic scale factors in which the size of the Universe in each direction experiences an endless sequence of contractions and reexpansions. We also obtain some approximate solutions for the type II noncommutative structure by numerical methods and show that the cyclic behavior is repeated as well. These results are compared with the standard commutative case, and similarities and differences of these solutions are discussed.
- OSTI ID:
- 21503598
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Newton equation for canonical, Lie-algebraic, and quadratic deformation of classical space
Dilaton cosmology, noncommutativity, and generalized uncertainty principle
Related Subjects
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
97 MATHEMATICS AND COMPUTING
APPROXIMATIONS
CALCULATION METHODS
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
COSMOLOGY
DEFORMATION
EVOLUTION
GRADED LIE GROUPS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PHASE SPACE
SPACE
SYMMETRY GROUPS
UNIVERSE