Prog. Theor. Phys. Vol. 87 No. 2 (1992) pp. 253-268

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Invited Papers

Topology Change by Quantum Tunneling in (2 + 1)-Dimensional Einstein Gravity

Yoshihisa Fujiwara, Saburo Higuchi, Akio Hosoya, Takashi Mishima and Masaru Siino

Department of Physics, Tokyo Institute of Technology, Oh-Okayama, Tokyo 152

(Received December 25, 1991)

Abstract:

We investigate possibilities of topology change and nucleation of universes in the (2 + 1)-dimensional Einstein gravity model with negative cosmological constant. We demonstrate that topology change and nucleation phenomena can occur by quantum tunneling by explicitly constructing Euclidean signature hyperbolic 3-geometry. The amplitude is explicitly calculated in the WKB approximation. Point particles can be accommodated in this scheme as topological defects in space-time. They are pair created and annihilated when the universe changes its topology.

URL : http://ptp.ipap.jp/link?PTP/87/253/
DOI : 10.1143/PTP.87.253

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Citing Article(s) :

Progress of Theoretical Physics Vol. 91 No. 2 (1994) pp. 361-377 :
Gravitational Scattering in 2 + 1 Dimensions and Wilson Loop Operators

Masahito Hayashi and Freddy Permana Zen