Wormhole spectrum of a quantum Friedmann-Robertson-Walker cosmology minimally coupled to a power-law scalar field and the cosmological constant

Journal Article · Fri May 15 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.R3296· OSTI ID:7235587

Kim, S P ^[1]; Page, D N ^[2]

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1. Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802 (United States) Department of Physics Education, College of Education, Seoul National University, Seoul 151-742 (Korea, Republic of)
2. Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, T6G 2J1 (Canada)

The expansion of the wave function of a quantum Friedmann-Robertson-Walker cosmology minimally coupled to a scalar field with a power-law potential by its scalar-field part decouples the gravitational-field part into an infinite system of linear homogeneous differential equations (equivalent to a matrix equation). The solutions for the gravitational-field part are found in the product integral formulation. It is shown that there exists a spectrum of the wave functions exponentially damped for large three-geometries under the condition that the cosmological constant should vanish. These are interpeted as the Hawking-Page wormholes.

• OSTI ID: 7235587
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGY
COUPLING
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENSTATES
EQUATIONS
FIELD THEORIES
FUNCTIONS
GRAVITATIONAL FIELDS
MATRICES
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
SCALAR FIELDS
SCHROEDINGER EQUATION
SPACE-TIME
UNIVERSE
WAVE EQUATIONS
WAVE FUNCTIONS