On the cosmological constant in quantum cosmology

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 $\Lambda >0$.

arXiv commentThis paper was published originally in "Problems of Gravitational Theory and Particle Theory", VNIIFTRI Proceedings, Moscow, 1972. v. 16(46), pp. 43-48 (in Russian). The English version was published in the journal "Gravitation & Cosmology" in 2003