Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-04-22
Gen.Rel.Grav. 35 (2003) 1659-1677
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex file, 18 pages. To appear in General Relativity and Gravitation
Scientific paper
The anisotropic Bianchi I cosmological model coupled with perfect fluid is quantized in the minisuperspace. The perfect fluid is described by using the Schutz formalism which allows to attribute dynamical degrees of freedom to matter. A Schr\"odinger-type equation is obtained where the matter variables play the role of time. However, the signature of the kinetic term is hyperbolic. This Schr\"odinger-like equation is solved and a wave packet is constructed. The norm of the resulting wave function comes out to be time dependent, indicating the loss of unitarity in this model. The loss of unitarity is due to the fact that the effective Hamiltonian is hermitian but not self-adjoint. The expectation value and the bohmian trajectories are evaluated leading to different cosmological scenarios, what is a consequence of the absence of a unitary quantum structure. The consistency of this quantum model is discussed as well as the generality of the absence of unitarity in anisotropic quantum models.
Alvarenga Flavio G.
Batista Antonio Brasil
Fabris Julio Cesar
Goncalves S. V. B.
No associations
LandOfFree
Troubles with quantum anistropic cosmological models: Loss of unitarity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Troubles with quantum anistropic cosmological models: Loss of unitarity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Troubles with quantum anistropic cosmological models: Loss of unitarity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-551066