The Spectrum of Gravitational Wave Perturbations in the One-Bubble Open Inflationary Universe

Details The Spectrum of Gravitational Wave Perturbations in the One-Bubble Open Inflationary Universe The Spectrum of Gravitational Wave Perturbations in the One-Bubble Open Inflationary Universe

1997-01-10

arxiv.org/abs/astro-ph/9701053v1

Prog.Theor.Phys.97:243-262,1997

Astronomy and Astrophysics

Astrophysics

24 pages ptp-tex file, 2 postscript figures. Progress of Theoretical Physics accepted. The ptp-tex style file is available at

Scientific paper

10.1143/PTP.97.243

We give the initial spectrum of quantized gravitational waves in the context of the one-bubble open inflationary universe scenario. In determining the quantum state after the bubble nucleation we adopt the prescription to require the analyticity of positive frequency functions in half of the Euclidean extension of the background O(3,1)-symmetric spacetime. We find the spectrum is well behaved at the infrared limit and there appears no supercurvature mode. In the thin wall approximation, the explicit form of the spectrum of gravitational wave perturbations is calculated.

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