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arXiv · 1504.02912

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

Sridip Pal
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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 ($α=1$). 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 $α\neq 1$ 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 $α\neq1$ case with existence of a critical parameter.

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Sridip Pal. 2015-04-11. Physical Aspects of Unitary evolution of Bianchi-I Quantum Cosmological Model. https://doi.org/10.1088/0264-9381%2F33%2F4%2F045007

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