Physical Aspects of Unitary evolution of Bianchi-I Quantum Cosmological Model

Abstract

In this work, we study some physical aspects of unitary evolution of Bianchi-I model. In particular, we study the behavior of the volume and the scale factor as a function of time for the Bianchi-I universe with ultra-relativistic fluid ($\alpha =1$). The expectation value of volume is shown not to hit any singularity. We elucidate on the anisotropic nature of the solution and physically interpret the wavefunction as a superposition of collapsing universe and expanding universe mimicking Hartle-Hawking type wavefunction. The same analysis has been done for $\alpha \ne 1$ as well. The work also comments on how to obtain Vilenkin type wavefunction representing an expanding universe without that being superposed with a solution representing a collapsing universe. We also point at a possible phase transition phenomenon for $\alpha \ne 1$ case with existence of a critical parameter.

11 pages, 3 figures

References in corpus (2)

• Restoring unitarity in anisotropic quantum cosmological models
• Addressing the issue of non-unitarity in anisotropic quantum cosmology

Cited by in corpus (7)

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• Quantized Brans Dicke Theory: Phase Transition and Strong Coupling (Large $\omega$) Limit & General Relativity
• Dynamics of a perfect fluid through velocity potentials with aplication in quantum cosmology
• Renormalization Group-Improved Gravitational Action: A Lagrangian Framework
• Anisotropic n-dimensional quantum cosmological model with fluid
• Unitarity in quantum cosmology: symmetries protected and violated