Time reparameterization in Bianchi type I spinor cosmology
arXiv:0709.2988 · doi:10.1016/j.aop.2007.09.008
Abstract
The problem of time reparameterization is addressed at both the classical and quantum levels in a Bianchi-I universe in which the matter source is a massive Dirac spinor field. We take the scale factors of the metric as the intrinsic time and their conjugate momenta as the extrinsic time. A scalar character of the spinor field is identified as a representation of the extrinsic time. The construction of the field equations and quantization of the model is achieved by solving the Hamiltonian constraint after time identification has been dealt with. This procedure leads to a true Hamiltonian whose exact solutions for the above choices of time are presented
16 pages, no figures, to appear in Annals of Physics
References in corpus (12)
- Approaches to Quantum Cosmology
- Spinors, Inflation, and Non-Singular Cyclic Cosmologies
- Spinor Field in Bianchi type-I Universe: regular solutions
- Nonlinear spinor field in cosmology
- An introduction to quantum cosmology
- The issue of time in generally covariant theories and the Komar-Bergmann approach to observables in general relativity
- 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
- Classical and quantum spinor cosmology with signature change
- Generalized Hamiltonian Dynamics of Friedmann Cosmology with Scalar and Spinor Matter Source Fields
- The problem of time and gauge invariance in the quantization of cosmological models. II. Recent developments in the path integral approach
Cited by in corpus (9)
- FRW and Bianchi type I cosmology of f-essence
- Quadratic quantum cosmology with Schutz' perfect fluid
- Modified Chaplygin Gas and Solvable F-essence Cosmologies
- Scalar field quantum cosmology: a Schrödinger picture
- G-essence with Yukawa Interactions
- Reconstruction of f-essence and fermionic Chaplygin gas models of dark energy
- A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
- Accelerated expansion of the Universe driven by G-essence
- Quantum cosmology in teleparallel gravity with a boundary term