Quantum cosmology with nontrivial topologies

Journal Article · Fri Oct 10 00:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3012282· OSTI ID:21251501

Vargas, T ^[1]

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1. Department of Physics and Center for Mathematics and Theoretical Physics, National Central University, Chungli 320, Taiwan (China)

Quantum creation of a universe with a nontrivial spatial topology is considered. Using the Euclidean functional integral prescription, we calculate the wave function of such a universe with cosmological constant and without matter. The minisuperspace path integral is calculated in the semiclassical approximation, and it is shown that in order to include the nontrivial topologies in the path integral approach to quantum cosmology, it is necessary to generalize the sum over compact and smooth 4-manifolds to sum over finite-volume compact 4-orbifolds.

• OSTI ID: 21251501
• Journal Information: AIP Conference Proceedings, Vol. 1059, Issue 1; Conference: 5. Sino-Italian workshop on relativistic astrophysics, Taipei-Hualien, Taiwan (China), 28 May - 1 Jun 2008; Other Information: DOI: 10.1063/1.3012282; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL CONSTANT
COSMOLOGY
EUCLIDEAN SPACE
GENERAL RELATIVITY THEORY
M-THEORY
PATH INTEGRALS
QUANTUM GRAVITY
QUANTUM MECHANICS
RELICT RADIATION
SCHWARZSCHILD METRIC
SEMICLASSICAL APPROXIMATION
SPACE-TIME
TOPOLOGY
UNIVERSE
WAVE FUNCTIONS