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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| Published in | Pramāṇa Vol. 53; no. 5; pp. 815 - 831 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Dordrecht
Springer Nature B.V
01.11.1999
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| Subjects | |
| Online Access | Get full text |
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| 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. |
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| AbstractList | 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 | Shaw, A Biswas, D Biswas, S |
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| Cites_doi | 10.1103/PhysRev.85.166 10.1016/0550-3213(88)90097-1 10.1016/0550-3213(84)90093-2 10.1023/A:1026683515379 10.1016/0550-3213(86)90073-8 10.1007/978-3-642-60707-3_17 10.1007/BF01338578 10.1016/0375-9601(91)90026-5 10.1103/PhysRev.150.1079 10.1088/0264-9381/4/5/031 10.1016/0550-3213(89)90538-5 10.1016/0370-2693(80)90670-X 10.1088/0264-9381/4/3/026 |
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| Copyright | Indian Academy of Sciences 1999. |
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| DOI | 10.1007/s12043-999-0115-7 |
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| Title | Starobinsky model in Schrödinger description |
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