Affordable Access

deepdyve-link deepdyve-link
Publisher Website

Quantum Geometrodynamics of the Bianchi IX cosmological model

  • Kheyfets, Arkady
  • Miller, Warner A.
  • Vaulin, Ruslan
Published Article
Publication Date
Dec 06, 2005
Submission Date
Dec 06, 2005
DOI: 10.1088/0264-9381/23/13/003
arXiv ID: gr-qc/0512040
External links


The canonical quantum theory of gravity -- Quantum Geometrodynamics (QG) is applied to the homogeneous Bianchi type IX cosmological model. As a result, the framework for the quantum theory of homogeneous cosmologies is developed. We show that the theory is internally consistent, and prove that it possesses the correct classical limit (the theory of general relativity). To emphasize the special role that the constraints play in this new theory we, compare it to the traditional ADM square-root and Wheeler-DeWitt quantization schemes. We show that, unlike the traditional approaches, QG leads to a well-defined Schrodinger equation for the wave-function of the universe that is inherently coupled to the expectation value of the constraint equations. This coupling to the constraints is responsible for the appearance of a coherent spacetime picture. Thus, the physical meaning of the constraints of the theory is quite different from Dirac's interpretation. In light of this distinctive feature of the theory, we readdress the question of the dark energy effects in the Bianchi IX cosmological model for highly non-classical quantum states. We show that, at least for this model, for any choice of the initial wave function, the quantum corrections will not produce the accelerated expansion of the universe.

Report this publication


Seen <100 times