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A Quantum Cosmological Model With Static and Dynamic Wormholes

N. A. Lemos·G. A. Monerat
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Abstract

Quantization is performed of a Friedmann-Robertson-Walker universe filled with a conformally invariant scalar field and a perfect fluid with equation of state $p=αρ$. A well-known discrete set of static quantum wormholes is shown to exist for radiation ($α=1/3$), and a novel continuous set is found for cosmic strings ($α= -1/3$), the latter states having throat radii of any size. In both cases wave-packet solutions to the Wheeler-DeWitt equation are obtained with all the properties of evolving quantum wormholes. In the case of a radiation fluid, a detailed analysis of the quantum dynamics is made in the context of the Bohm-de Broglie interpretation. It is shown that a repulsive quantum force inversely proportional to the cube of the scale factor prevents singularities in the quantum domain. For the states considered, there are no particle horizons either.

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N. A. Lemos, G. A. Monerat. 2002-10-17. A Quantum Cosmological Model With Static and Dynamic Wormholes. https://doi.org/10.1023/a%3A1022321916891

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