Mathematics – Logic
Scientific paper
Nov 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phrvd..58j7501o&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 58, Issue 10, 15 November 1998, id. 107501
Mathematics
Logic
3
Lower Dimensional Models, Minisuperspace Models
Scientific paper
The application of the ``no-boundary'' condition to space-times with initially open spatial sections may lead to extra conditions on physical quantities of these space-times. In the present Brief Report, we verify the above statement in a model where we compute the semi-classical approximation to the ``no-boundary'' wave function of the anti-de Sitter space-time. For this model the ``no-boundary'' conditions impose a well defined, discrete spectrum for the cosmological constant. As a by-product of our investigations we also find that among the space-times contributing to the above wave function there are two complex conjugate ones that show a new type of signature change.
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