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Perfect fluid quantum anisotropic universe: merits and challenges

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Abstract

The present paper deals with quantization of perfect fluid anisotropic cosmological models. Bianchi type V and IX models are discussed following Schutz’s method of expressing fluid velocities in terms of six potentials. The wave functions are found for several examples of equations of state. In one case a complete wave packet could be formed analytically. The initial singularity of a zero proper volume can be avoided in this case, but it is plagued by the usual problem of non-unitarity of anisotropic quantum cosmological models. It is seen that a particular operator ordering alleviates this problem.

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Note added in proof

After this paper was accepted for publication, we came across some work which are relevant and might have been mentioned [22, 23, 24].

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  1. Department of Physical Sciences, Indian Institute of Science Education and Research, Mohanpur Campus, P.O. BCKV Main Office, District Nadia, Kolkata, 741252, West Bengal, India

    Barun Majumder & Narayan Banerjee

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  1. Barun Majumder
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  2. Narayan Banerjee
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Correspondence to Narayan Banerjee.

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Majumder, B., Banerjee, N. Perfect fluid quantum anisotropic universe: merits and challenges. Gen Relativ Gravit 45, 1–15 (2013). https://doi.org/10.1007/s10714-012-1446-0

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