Behaviour of wave functions of the universe and cosmological constant.

Details Behaviour of wave functions of the universe and cosmological constant. Behaviour of wave functions of the universe and cosmological constant.

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991achph..64..126v&link_type=abstract

Helvetica Physica Acta, Vol. 64, No. 2, p. 126 - 150

Mathematics

Logic

Cosmological Constant

Scientific paper

The author's purpose is to study the asymptotic behaviour of cosmological wave functions in the region of superspace where det(metric) = ∞. He considers curves σy in superspace, with lim(detσy) = ∞, and by means of a family of these curves an asymptotic region in det(metric) = ∞ is defined. The behaviour of solutions to the Einstein-Hamilton-Jacobi equation along the curves σy is analysed. From this analysis the author deduces for the wave functions of the universe the following behaviour in that asymptotic region: dissipative (dispersive) if Λ > 0 (resp. Λ < 0).

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