A Quantum Cosmological Model With Static and Dynamic Wormholes

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 $p=\alpha \rho$. A well-known discrete set of static quantum wormholes is shown to exist for radiation ($\alpha =1/3$), and a novel continuous set is found for cosmic strings ($\alpha =-1/3$), 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.

arXiv commentLaTex file, 13 pages. To appear in General Relativity and Gravitation

References in corpus (6)

• Quantum cosmological perfect fluid models
• Radiation-Dominated Quantum Friedmann Models
• Self-Adjoint Wheeler-DeWitt Operators, the Problem of Time and the Wave Function of the Universe
• Hilbert space of wormholes
• Wormholes, Classical Limit and Dynamical Vacuum in Quantum Cosmology
• Wormholes as Basis for the Hilbert Space in Lorentzian Gravity

Cited by in corpus (5)

• Wormholes and Ringholes in a Dark-Energy Universe
• Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a negative cosmological constant and radiation
• The Planck era with a negative cosmological constant and cosmic strings
• Probing singularities in quantum cosmology with curvature scalars
• Quantum Perfect-Fluid Kaluza-Klein Cosmology