Loop quantum cosmology of diagonal Bianchi type I model: Simplifications and scaling problems
- Institute of Theoretical Physics, University of Warsaw ul. Hoza 69, 00-681 Warszawa (Poland)
A simplified theory of the diagonal Bianchi type I model coupled with a massless scalar field in loop quantum cosmology is constructed according to the {mu} scheme. Kinematical and physical sectors of the theory are under good analytical control as well as the scalar constraint operator. Although it is possible to compute numerically the nonsingular evolution of the three gravitational degrees of freedom, the naive implementation of the {mu} scheme to the diagonal Bianchi type I model is problematic. The lack of the full invariance of the theory with respect to the fiducial cell and fiducial metric scaling causes serious problems in the semiclassical limit of the theory. Because of this behavior it is very difficult to extract reasonable physics from the model. The weaknesses of the implementation of the {mu} scheme to the Bianchi I model do not imply limitations of the {mu} scheme in the isotropic case.
- OSTI ID:
- 21254116
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 6; Other Information: DOI: 10.1103/PhysRevD.78.064035; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Physical evolution in loop quantum cosmology: The example of the vacuum Bianchi I model
Loop quantum cosmology of Bianchi type I models