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A Quantum Cosmological Model with Static and Dynamic Wormholes

General Relativity and Gravitation, ISSN: 0001-7701, Vol: 35, Issue: 3, Page: 423-436
2003
  • 13
    Citations
  • 0
    Usage
  • 2
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    13
    • Citation Indexes
      13
  • Captures
    2

Article Description

Quantization is performed for 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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