Abstract
A path integral formulation is used in the superspace of geometries leading to a model of quantum gravity. It is shown that this method agrees with the standard path integral technique in the special case of Friedmann universes. A Schrödinger-like equation is set up, leading to the stationary states. Some solutions to these equations are presented.
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References
Narlikar, J. V. (1979).Gen. Rel. Grav.,10, 883.
Narlikar, J. V. (1981).Found. Phy.,11, 473.
Padmanabhan, T., Narlikar, J. V. (1981).Gen. Rel. Grav.,13, 669.
Padmanabhan, T. (1982) (to be published inPhys. Rev. D.).
Padmanabhan, T., and Narlikar, J. V. (1981).Phy. Lett. A,84, 361.
Padmanabhan, T. (1981). T.I.F.R. preprint.
Mahesweri, A. (1979).Phys. Lett. A,73, 295.
Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation, Chap.44, Freeman, San Francisco.
Wheeler, J. A. (1964). InRelativity, Groups and Topology, ed. DeWitt, B. S., and DeWitt, C., Blacie, London.
Isenberg, J. A., and Wheeler, J. A. (1979). InRelativity, Quanta and Cosmology, ed. Pataleo, M., and de Finis, F., Johnson Reprint Corp., New York.
Misner, C. W. (1972). InMagic without Magic, ed. Klauder, J. R., Freeman, San Francisco.
Ryan, M. P., and Shapely, L. C. (1975).Homogeneous Relativistic Cosmologies, Princeton University Press, Princeton, New Jersey.
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Padmanabhan, T. Quantum stationary states in the Bianchi universes. Gen Relat Gravit 14, 549–557 (1982). https://doi.org/10.1007/BF00756216
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DOI: https://doi.org/10.1007/BF00756216