Analysis of Scalar Field Cosmology with Phase Space Deformations
M. Sabido (Departamento de Física de la Universidad de Guanajuato, Apartado Postal E-143, 37150 León, GTO, Mexico); Sinuhe Perez-Payan (Departamento de Física de la Universidad de Guanajuato, Apartado Postal E-143, 37150 León, GTO, Mexico); E. Mena (Centro Universitario de la Ciénega, Universidad de Guadalajara, Avenida Universidad 1115 Edificio B, 47820 Ocotlán, JAL, Mexico); C. Yee-Romero (Departamento de Matemáticas, Facultad de Ciencias Universidad Autónoma de Baja California, Apartado Postal 1880, 22860 Ensenada, BC, Mexico)
Phase space deformations on scalar field cosmology are studied. The deformation is introduced by modifying the symplectic structure of the minisuperspace variables. The effects of the deformation are studied in the “C-frame” and the “NC-frame.” In order to remove the ambiguities of working on different frames, a new principle is introduced. When we impose that both frames should be physically equivalent, we conclude that the only possibility for this model, is to have an effective cosmological constant . Finally we bound the parameter space for and .