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.
Similar content being viewed by others
REFERENCES
Vilenkin, A. (1985). Phys. Rev. D 32, 2511.
Vilenkin, A. (1983). Phys. Rev. D 27, 2848.
Wada, S. (1986). Nucl. Phys. B 276, 729.
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.
Kiefer, C. (1992). Phys. Rev. D 45, 2044.
Kiefer, C. (1992). Phys. Rev. D 46, 1658.
Simon, J. Z. (1992). Phys. Rev. D 45, 1553; Parker, L., and Simon, J. Z. (1993). Phys. Rev. D 47, 1339.
Berera, A. (1997). Phys. Rev. D 55, 3346 and refs. therein.
Biswas, S., Modak, B., and Biswas, D. (1996). Phys. Rev. D 55, 4673.
Shaw, A., Biswas, D., Modak, B., and Biswas, S. (1999). Pramana — J. Phys. 52, 1.
Biswas, S., Shaw, A., and Modak, B. (1998). “Time In Quantum Gravity.” Preprint nr. gr-qc/ 9906010.
Biswas, S., Shaw, A., and Biswas, D. (1998). “Schrödinger-Wheeler-DeWitt Equation In Multidimensional Cosmology.” Preprint nr. gr-qc/ 9906009.
Hawking, S. W. (1984). Nucl. Phys. B 239, 257; Hawking, S. W., and Page, D. N. (1986). Nucl. Phys. B 264, 184.
Vilenkin, A. (1987). Phys. Rev. D 37, 888.
Biswas, S., Shaw, A., Modak, B., and Biswas, D. (1998). “Quantum Gravity Equation In Schrödinger Form.” Preprint nr. gr-qc/ 9906011.
Conardi, H. D., and Zeh, H. D. (1991). Phys. Lett. A 154, 321.
Okada, Y., and Yoshimura, M. (1986). Phys. Rev. D 33, 2164.
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1023/A:1026683515379