Quantum cosmology with nontrivial topologies

Details Quantum cosmology with nontrivial topologies Quantum cosmology with nontrivial topologies

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aipc.1059...48v&link_type=abstract

RELATIVISTIC ASTROPHYSICS: 5th Sino-Italian Workshop on Relativistic Astrophysics. AIP Conference Proceedings, Volume 1059, pp.

Astronomy and Astrophysics

Astrophysics

Classical General Relativity, Origin And Formation Of The Universe, Quantum Gravity, Compactification And Four-Dimensional Models, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields

Scientific paper

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.

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