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Tunneling boundary condition and topology change
Phys. Rev. D 52, 6828 – Published 15 December, 1995
DOI: https://doi.org/10.1103/PhysRevD.52.6828
Abstract
In this paper the tunneling boundary condition is reexamined in terms of the Morse function. The use of this function permits one, on the one hand, to describe the shape of the singularity when topology change is allowed, and, on the other hand, to define, in the same situation, a slicing procedure which allows one to define the boundary of superspace so that the tunneling wave function of the Universe which results is defined unambiguously. © 1995 The American Physical Society.
References (12)
- J. A. Wheeler, in Batelle Recontres, edited by C. DeWitt and J. A. Wheeler (Benjamin, New York, 1968); B. S. DeWitt, Phys. Rev. 160, 1113 (1967).
- A good discussion about some proposed boundary conditions can be found in J. J. Halliwell, in Quantum Cosmology and Baby Universe, Proceedings of the Seventh Jerusalem Winter School, Jerusalem, Israel, 1990, edited by S. Coleman, J. B. Hartle, T. Piran, and S. Weinberg (World Scientific, Singapore, 1991).
- A. Vilenkin, Phys. Rev. D 33, 3560 (1986); ibid. 37, 888 (1988).
- For a review on inflation see, for example, A. D. Linde, Particle Physics and Inflationary Cosmology (Gordon and Breach, New York, 1990).
- J. Mirnor, Morse Theory (Princeton University Press, Princeton, NJ, 1963).
- A Vilenkin and E. P. S. Shellar, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, England, 1994).
- M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
- T. Vachaspati and A. Vilenkin, Phys. Rev. D 37, 898 (1988).
- J. Louko and T. Vachaspati, Phys. Lett. B 223, 21 (1989).
- J. J. Halliwell and J. Louko, Phys. Rev. D 42, 3997 (1990).
- A. Vilenkin (private communication).
- A. Vilenkin, Phys. Rev. D 50, 2581 (1994).