Quantum Wormholes with Nonminimal Coupling

Physics

Scientific paper

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Scientific paper

A Robertson-Walker geometry with nonminimal coupled scalar field has been quantized by the canonical formulation for constrained Hamiltonian systems. The exact solutions have been found for corresponding Wheeler-DeWitt equation. These solutions satisfy the needs of Hawking's boundary condition for the wormhole wave function. Thus they can provide a quantum-mechanical description of wormholes in a theory with a nonminimal coupled scalar field. The characteristic scale of the ground state of the wormhole is of the order of Planck length.

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