---

Prog. Theor. Phys. Vol. 97 No. 2 (1997) pp. 243-262

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

Takahiro Tanaka and Misao Sasaki

Department of Earth and Space Science, Osaka University, Toyonaka 560

(Received November 1, 1996)

Abstract:

We give the initial spectrum of quantized gravitational waves in the context of the onebubble 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 Euclidian 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.

URL : http://ptp.ipap.jp/link?PTP/97/243/
DOI : 10.1143/PTP.97.243

[ Full Text PDF : FREE ACCESS (865K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. J. R. Gott III, Nature 295 (1982), 304[CrossRef].
   J. R. Gott III and T. S. Statler, Phys. Lett. 136B (1984), 157.
2. M. Bucher, A. S. Goldhaber and N. Turok, Nucl. Phys. B Proc. Suppl. 43 (1995), 173[CrossRef].
   M. Bucher and N. Turok, Phys. Rev. D52 (1995), 5538[APS].
3. K. Yamamoto, M. Sasaki and T. Tanaka, Astrophys. J. 455 (1995), 412[CrossRef].
4. A. D. Linde, Phys. Lett. B351 (1995), 99.
5. A. D. Linde and A. Mezhlumian, Phys. Rev. D52 (1995), 5538[APS].
6. A. M. Green and A. R. Liddle, Phys. Rev. D55 (1997), 609[APS].
7. K. Yamamoto, T. Tanaka and M. Sasaki, Phys. Rev. D51 (1995), 2968[APS].
8. T. Hamazaki, M. Sasaki, T. Tanaka and K. Yamamoto, Phys. Rev. D53 (1996), 2045[APS].
9. M. Sasaki, T. Tanaka and K. Yamamoto, Phys. Rev. D51 (1995), 2979[APS].
10. M. Sasaki and T. Tanaka, Phys. Rev. D54 (1996), 4705[APS].
11. K. Yamamoto, M. Sasaki and T. Tanaka, Phys. Rev. D54 (1996), 5031[APS].
12. K. Yamamoto and E. F. Bunn, Astrophys. J. 464 (1996), 8[CrossRef].
13. J. Garriga, Phys. Rev. D54 (1996), 4764[APS].
14. J. Garcia-Bellido, Phys. Rev. D54 (1996), 2473[APS].
15. J. D. Cohn, Phys. Rev. D54 (1996), 7215[APS].
16. T. Tanaka and M. Sasaki, gr-qc/9610060 (Paper I)[e-print arXiv].
17. S. Coleman, Phys. Rev. D15 (1977), 2929[APS].
18. S. Coleman and F. De Luccia, Phys. Rev. D21 (1980), 3305[APS].
19. K. Tomita, Prog. Theor. Phys. 68 (1982), 310[PTP].
20. T. Tanaka and M. Sasaki, Phys. Rev. D50 (1994), 6444[APS].
21. B. Allen and R. Caldwell, Report No. WISC-MILW-94-TH-21.
22. H. Kodama, H. Ishihara and Y. Fujiwara, Phys. Rev. D50 (1994), 7292[APS].

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.