• Starobinsky model in Schrödinger description

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    • Keywords


      Fourth-order gravity; inflation; curvature fluctuation; decoherence; wave function of the universe

    • Abstract


      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.

    • Author Affiliations


      S Biswas1 2 A Shaw1 D Biswas1

      1. Department of Physics, University of Kalyani, Kalyani - 741 235, India
      2. Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Pune, Ganeshkhind - 411 007, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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