Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-12-08
Phys.Rev.D51:2979-2995,1995
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, revtex file, 3 uuencoded compressed postscript figures appended at the end
Scientific paper
10.1103/PhysRevD.51.2979
Motivated by recent studies of the one-bubble inflationary universe scenario that predicts a low density, negative curvature universe, we investigate the Euclidean vacuum mode functions of a scalar field in a spatially open chart of de Sitter space which is foliated by hyperbolic time slices. When we consider the possibility of an open inflationary universe, we are faced with the problem of the initial condition for the quantum fluctuations of the inflaton field, because the inflationary era should not last too long to lose every information of the initial condition. In the one-bubble scenario in which an open universe is created in an exponentially expanding false vacuum universe triggered by quantum decay of false vacuum, it seems natural that the initial state is the de Sitter-invariant Euclidean vacuum. Here we present explicit expressions for the Euclidean vacuum mode functions in the open chart for a scalar field with arbitrary mass and curvature coupling.
Sasaki Misao
Tanaka Takahiro
Yamamoto Kazuhiro
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