Ju n 19 99 Starobinsky Model in Schroedinger Description
نویسنده
چکیده
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 Schroedinger form containing time. The Schroedinger equation is solved with a Gaussian ansatz. Using the prescription for the normalization constant of the wavefunction given in our previous work, we show that the Gaussian ansatz demands Hawking type initial conditions for the wavefunction of the universe. The wormholes induce randomness in initial states suggesting a basis for time-contained description of the Wheeler-DeWitt equation. Inflation is an essential ingredient in modern cosmology to solve the horizon, the flatness and the monopole problems. In order to ascertain whether inflation is natural, there have been several attempts to study the curvature squared cosmology along with the Einstein curvature term. Even before Guth's [1] proposal of inflationary scenario, Starobinsky [2] proposed an inflationary model taking one loop quantum corrections to the classical Einstein Lagrangian. It has been shown that this model is equivalent to the curvature squared model in which the universe tunnels into the de Sitter phase that becomes unstable and finally emerges into the Friedmann era. In order to show that the inflation is quite natural phenomena for any initial conditions (called no hair conjecture), several authors [3] attempted to show that, for some models, inflation is really an attractor. The works done by Mijic, Moris 1
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Decoherence in Starobinsky Model
Starobinsky described an inflationary scenario in which quantum corrections to vacuum Einstein's equations drive the inflation. The quantum cos-mology of the model is studied by solving Wheeler-DeWitt equation. A connection between uncertainty requirement, randomness in initial states as well as curvature fluctuation is studied with a Schroedinger-type equation through a time parameter prescrip...
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