Abstract
The second order Coleman–de Luccia instanton and its action in the Randall–Sundrum type II model are investigated and the comparison with the results in Einstein’s general relativity is done in the present paper.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Balek, V. and Demetrian, M. (2004). Criterion for bubble formation in a de Sitter universe. Phys. Rev. D 69, 063518.
Balek, V. and Demetrian, M. (2005). Euclidean action for vacuum decay in a de Sitter universe. Phys. Rev. D 71, 023512.
Bouhmadi-López, M., González-Díaz, P. F., and Zhuk, A. (2002). On new gravitational instantons describing creation of brane-worlds. Class. Quant. Grav. 19, [4863, hep-th/0208226].
Bucher, M., Goldhaber, A. S., and Turok, N. (1995). Open universe from inflation. Phys. Rev. D 52, 3314–3337.
Coleman, S. and de Luccia, F. (1980). Gravitational effects on and of vacuum decay. Phys. Rev. D 21, 3305–3315.
del Campo, S., Herrera, R., and Saavedra, J. (2004). Open inflationary universes in a brane world cosmology. Phys. Rev. D 70, 023507, [hep-th/0404148].
Demetrian, M. (2004). Study of the Coleman–de Luccia instanton of the second order, [gr-qc/0408012].
Demetrian, M. (2005). False vacuum decay in a brane world cosmological model, to appear in Gen. Rel. Grav., [gr-qc/0506028].
Guth, A. H. (1981). Inflationary universe: A possible solution to the horizon and flatness problems. Phys. Rev. D 23, 347–356.
Hackworth, J. C. and Weinberg, E. J. (2005). Oscillating bounce solutions and vacuum tunneling in de Sitter spacetime. Phys Rev. D 71, 044014.
Hawking, S. W. and Moss, I. G. (1982). Supercooled phase transitions in the very early universe. Phys. Lett. 101B, 35–37.
Jensen, L. G. and Steinhardt, P. J. (1984). Bubble nucleation and the Coleman-Weinberg model. Nucl. Phys. B 237, 176–188.
Linde, A. D. (1990). Elementary particle physics and inflationary cosmology [in russian], NAUKA, Moscow.
Linde, A. D. and Mezhlumian, A. (1995). Inflation with Ω ≠ 1. Phys. Rev. D 52, 6789–6804.
Kofman, L., Linde, A. D., and Starobinsky, A. (1997). Towards the theory of reheating after inflation. Phys. Rev. D 56, 3258–3295.
Kofman, L., Linde, A., and Starobinsky, A. (1994). Reheating after inflation. Phys. Rev. Lett. 73, 3195–3198.
Samuel, D. A. and Hiscock, W. A. (1991). Effect of gravity on false-vacuum decay rates for O(4)-symmetric bubble nucleation. Phys. Rev. D 44, 3052–3061.
Tanaka, T. (1999). The no-negative mode theorem in false vacuum decay with gravity. Nucl. Phys. B 556, 373–396.
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS Numbers: 98.80.Cq.
Rights and permissions
About this article
Cite this article
Demetrian, M. Coleman–de Luccia Instanton of the Second Order in a Brane World. Int J Theor Phys 45, 2297–2304 (2006). https://doi.org/10.1007/s10773-006-9196-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-006-9196-y