Topology Changes by Quantum Tunneling in Four Dimensions

Details Topology Changes by Quantum Tunneling in Four Dimensions Topology Changes by Quantum Tunneling in Four Dimensions

1994-09-05

arxiv.org/abs/gr-qc/9409006v1

Phys. Lett. B354 (1995) 46

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages revtex.sty, 6 uuencoded figures contained, TIT/HEP-260/COSMO-45

Scientific paper

10.1016/0370-2693(95)00621-Q

We investigate topology-changing processes in 4-dimensional quantum gravity with a negative cosmological constant. By playing the ``gluing-polytope game" in hyperbolic geometry, we explicitly construct an instanton-like solution without singularity. Because of cusps, this solution is non-compact but has a finite volume. Then we evaluate a topology change amplitude in the WKB approximation in terms of the volume of this solution.

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