Abstract
We study the form of topology changing amplitudes within the Regge calculus approach to four-dimensional gravity. The four-dimensional simplicial complex is chosen to be a cone over the disjoint union of a number of topologically distinct lens spaces. By restricting attention to a simplicial minisuperspace, the analytic properties of the Regge action can be identified explicitly. The classical extrema and convergent steepest descent contours defining these amplitudes are determined, and a factorization property is established. In the cases studied, we find ground state wave functions which predict Lorentzian oscillatory behaviour in the late universe.
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Birmingham, D. Factorization of topology changing amplitudes in the Regge calculus approach to quantum cosmology. Gen Relat Gravit 28, 87–96 (1996). https://doi.org/10.1007/BF02106856
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DOI: https://doi.org/10.1007/BF02106856