Initial conditions for R+ɛR2 cosmology

Details Initial conditions for R+ɛR2 cosmology Initial conditions for R+ɛR2 cosmology

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.1496m&link_type=abstract

Physical Review D (Particles and Fields), Volume 39, Issue 6, 15 March 1989, pp.1496-1510

Physics

29

Origin And Formation Of The Universe

Scientific paper

A pure gravity cosmology based on the R+ɛR2 Lagrangian is known to exhibit inflation for a wide range of initial conditions. In this paper we use the wave function from quantum cosmology to describe this inflation as a chaotic inflationary phase immediately following the quantum creation of the Universe. We evaluate, compare, and discuss the distributions over initial conditions that are fixed by the two boundary-condition proposals of Hartle and Hawking (``no boundary'') and Vilenkin (``tunneling from nothing''). We find that among all classical inflationary trajectories that begin on the classical-quantum boundary, those that lead to an inflation of at least 70 e-foldings make up a fraction of ~exp(-1012) in the former case and ~1-exp(-8×1010) in the latter. Thus, in the simplest interpretation, the observable Universe would be the outcome of a rare event for the first boundary-condition proposal and a typical event for the second.

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