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Decoherence in the Starobinsky Model

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Abstract

Starobinsky described an inflationary scenarioin which quantum corrections to vacuum Einsteinequations drive the inflation. The quantum cosmology ofthe model is studied by solving the Wheeler-DeWittequation. A connection between uncertaintyrequirement, randomness in initial states and curvaturefluctuation is studied with a Schrodinger-type equationthrough a time parameter prescription. The resultobtained is applied to understand thedecoherence mechanism in quantum gravity in theStarobinsky description.

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REFERENCES

  1. Vilenkin, A. (1985). Phys. Rev. D 32, 2511.

    Google Scholar 

  2. Vilenkin, A. (1983). Phys. Rev. D 27, 2848.

    Google Scholar 

  3. Wada, S. (1986). Nucl. Phys. B 276, 729.

    Google Scholar 

  4. Kuchar, K. V. (1992). In Proc. Fourth Canadian Conf. on General Relativity and Relativistic Astrophysics, G. Kunstatter, D. Vincent and J. Williams, eds. (World Scientific, Singapore), p. 211.

    Google Scholar 

  5. Kiefer, C. (1992). Phys. Rev. D 45, 2044.

    Google Scholar 

  6. Kiefer, C. (1992). Phys. Rev. D 46, 1658.

    Google Scholar 

  7. Simon, J. Z. (1992). Phys. Rev. D 45, 1553; Parker, L., and Simon, J. Z. (1993). Phys. Rev. D 47, 1339.

    Google Scholar 

  8. Berera, A. (1997). Phys. Rev. D 55, 3346 and refs. therein.

    Google Scholar 

  9. Biswas, S., Modak, B., and Biswas, D. (1996). Phys. Rev. D 55, 4673.

    Google Scholar 

  10. Shaw, A., Biswas, D., Modak, B., and Biswas, S. (1999). Pramana — J. Phys. 52, 1.

    Google Scholar 

  11. Biswas, S., Shaw, A., and Modak, B. (1998). “Time In Quantum Gravity.” Preprint nr. gr-qc/ 9906010.

  12. Biswas, S., Shaw, A., and Biswas, D. (1998). “Schrödinger-Wheeler-DeWitt Equation In Multidimensional Cosmology.” Preprint nr. gr-qc/ 9906009.

  13. Hawking, S. W. (1984). Nucl. Phys. B 239, 257; Hawking, S. W., and Page, D. N. (1986). Nucl. Phys. B 264, 184.

    Google Scholar 

  14. Vilenkin, A. (1987). Phys. Rev. D 37, 888.

    Google Scholar 

  15. Biswas, S., Shaw, A., Modak, B., and Biswas, D. (1998). “Quantum Gravity Equation In Schrödinger Form.” Preprint nr. gr-qc/ 9906011.

  16. Conardi, H. D., and Zeh, H. D. (1991). Phys. Lett. A 154, 321.

    Google Scholar 

  17. Okada, Y., and Yoshimura, M. (1986). Phys. Rev. D 33, 2164.

    Google Scholar 

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Biswas, S., Shaw, A. & Modak, B. Decoherence in the Starobinsky Model. General Relativity and Gravitation 31, 1015–1030 (1999). https://doi.org/10.1023/A:1026683515379

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  • DOI: https://doi.org/10.1023/A:1026683515379

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