Initial conditions for R+εR^2 cosmology
Abstract
A pure gravity cosmology based on the R+εR^2 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(-10^12) in the former case and ∼1-exp(-8×10^10) 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.
Additional Information
©1989 The American Physical Society Received 31 May 1988 We would like to thank J. Preskill and K.S. Thorne for generously supporting and encouraging our work, Don Page for fruitful comments and suggestions, and M. Gell-Mann for his interest and encouragement. This work was supported in part by the National Science Foundation (Grants Nos. AST85-14911, PHY85-00498, and PHY85-13953) and Grants Nos. DEAC-0381-ER40050, Natural Sciences and Engineering Research Council Grant No. 580441 of Canada, and the Serbian National Science Foundation.Files
| Name | Size | Download all |
|---|---|---|
|
md5:a2b4f3739d029724c1c737bd6654c257
|
2.6 MB | Preview Download |
Additional details
- Eprint ID
- 6671
- Resolver ID
- CaltechAUTHORS:MIJprd89
- Created
-
2006-12-17Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field