Abstract
This article is a series of remarks on theapplication of the geometric approach to quantummechanics to gravitation. Bianchi Type I cosmologies areused as minisuperspace models in order to give concrete examples of the problems one expects toencounter.
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REFERENCES
See Kobayashi, S., and Nomizu, K. (1969). Foundations of Differential Geometry, Vol. II (John Wiley, New York).
Kibble, T. (1979). Commun. Math. Phys. 65, 189.
Heslot, A. (1985). Phys. Rev. D 31, 1341.
Ashtekar, A., and Schilling, T. (1997). gr-qc/ 9706069; Schilling, T. (1996). Ph.D. Thesis, Pennsylvania State University.
Corichi, A., and Ryan, M. in preparation.
Hughston, L. (1995). In Twistor Theory, S. Huggett, ed. (Marcel Dekker, New York); Field, T. (1997). Ph.D. Thesis, Oxford University.
Misner, C., Arnowitt, A., and Deser, S. (1962). In Gravitation — An Introduction to Current Research, L. Witten, ed. (John Wiley, New York).
See, for example, Ryan, M. (1972). Hamiltonian Cosmology (Springer-Verlag, Heidelberg).
Marolf, D. (1995). Class. Quantum Grav. 12, 1199.
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Corichi, A., Ryan, M.P. Reflections on the Application of the Geometric Approach to Quantum Mechanics to General Relativity. General Relativity and Gravitation 31, 621–628 (1999). https://doi.org/10.1023/A:1026688827249
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DOI: https://doi.org/10.1023/A:1026688827249