Starobinsky model in Schrödinger description

In the Starobinsky inflationary model inflation is driven by quantum corrections to the vacuum Einstein equation. We reduce the Wheeler-DeWitt equation corresponding to the Starobinsky model to a Schrödinger form containing time. The Schrödinger equation is solved with a Gaussian ansatz. Using the p...

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Bibliographic Details
Published inPramāṇa Vol. 53; no. 5; pp. 815 - 831
Main Authors Biswas, S, Shaw, A, Biswas, D
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.11.1999
Subjects
Einstein equations
Initial conditions
Schrodinger equation
Wave functions
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Summary:In the Starobinsky inflationary model inflation is driven by quantum corrections to the vacuum Einstein equation. We reduce the Wheeler-DeWitt equation corresponding to the Starobinsky model to a Schrödinger form containing time. The Schrödinger equation is solved with a Gaussian ansatz. Using the prescription for the normalization constant of the wave function given in our previous work, we show that the Gaussian ansatz demands Hawking type initial conditions for the wave function of the universe. The wormholes induce randomness in initial states suggesting a basis for time-contained description of the Wheeler-DeWitt equation.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-999-0115-7