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On the cosmological constant in quantum cosmology

M. I. Kalinin·V. N. Melnikov
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Abstract

Quantization of a dust-like closed isotropic cosmological model with a cosmological constant is realized by the method of B. DeWitt \cite{1}. It is shown that such quantization leads to interesting results, in particular, to a finite lifetime of the system, and appearance of the Universe in our world as penetration via the barrier. These purely quantum effects appear when $Λ>0$.

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M. I. Kalinin, V. N. Melnikov. 2006-04-17. On the cosmological constant in quantum cosmology. https://arxiv.org/abs/gr-qc/0604070

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