Starobinsky model in Schrodinger description

Citation
S. Biswas et al., Starobinsky model in Schrodinger description, PRAMANA-J P, 53(5), 1999, pp. 815-831
Citations number
39
Categorie Soggetti
Physics
Journal title
PRAMANA-JOURNAL OF PHYSICS
ISSN journal
03044289 → ACNP
Volume
53
Issue
5
Year of publication
1999
Pages
815 - 831
Database
ISI
SICI code
0304-4289(199911)53:5<815:SMISD>2.0.ZU;2-V
Abstract
In the Starobinsky inflationary model inflation is driven by quantum correc tions to the vacuum Einstein equation. We reduce the Wheeler-DeWitt equatio n corresponding to the Starobinsky model to a Schrodinger form containing t ime. The Schrodinger equation is solved with a Gaussian ansatz. Using the p rescription for the normalization constant of the wave function given in ou r previous work, we show that the Gaussian ansatz demands Hawking type init ial conditions for the wave function of the universe. The wormholes induce randomness in initial states suggesting a basis for time-contained descript ion of the Wheeler-DeWitt equation.