Tunneling in perfect-fluid (minisuperspace) quantum cosmology

Statistics – Applications

Scientific paper

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Semiclassical Theories And Applications, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

A minisuperspace model of general relativity with a positive cosmological constant coupled to a perfect isentropic fluid is presented. The classical equations of motion are solved for a tunneling solution that consists of a Euclidean instanton of the wormhole type, connected to Lorentzian Robertson-Walker universes. The path integral is then defined as a sum over Lorentzian geometries and it is shown that the tunneling solution dominates the semiclassical evaluation of the path integral.

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