No-boundary wave function of the anti-de Sitter space-time and the quantization of Λ

Mathematics – Logic

Scientific paper

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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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