Hamiltonian structures for compact homogeneous universes

Journal of Mathematical Physics

Volumn 38, Issue 12, 1997, Pages 6560-6577

  Tanimoto, Masayuki ^a   Koike, Tatsuhiko ^b   Hosoya, Akio ^c  

^a KYOTO UNIVERSITY   (Japan)

^b KEIO UNIVERSITY   (Japan)

^c TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031527118     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532225     Document Type: Article

References (15)

1. L. D. Landau and E. M. Lifshitz, Classical Theory of Fields (MIT, Reading, 1971).
2. M. P. Ryan and L. C. Shepley, Homogeneous Relativistic Cosmologies, Princeton Series in Physics (Princeton University Press, Princeton, 1975).
3. R. M. Wald, General Relativity (University of Chicago, Chicago, 1984).
4. J. J. Halliwell, in Quantum Cosmology and Baby Universes, edited by S. Coleman, J. B. Hartle, T. Piran, and S. Weinberg (World Scientific, Singapore, 1991), pp. 159-243, and references therein.
5. P. D. D'Eath, Supersymmetric Quantum Cosmology (Cambridge University Press, Cambridge, 1996).
6. See, for example, S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
7. V. A. Belinski, I. M. Khalatnikov, and E. M. Lifshitz, Adv. Phys. 19, 525 (1970).
8. A. Ashtekar and J. Samuel, Class. Quantum Grav. 8, 2191 (1991).
9. T. Koike, M. Tanimoto, and A. Hosoya, J. Math. Phys. 35, 4855 (1994).
10. M. Tanimoto, T. Koike, and A. Hosoya, J. Math. Phys. 38, 350 (1997).
11. K. Ohshika, Topology and its Application 27, 75 (1987).
12. R. Kulkarni, K. B. Lee, and F. Raymond, Geometry and Topology, Lecture Notes Math. 1167, 180 (1985).
13. A. Hosoya and K. Nakao, Class. Quantum Grav. 7, 163 (1990). For recent status of (2+1)-gravity and more references, see, e.g., S. Carlip, Lectures on (2 + 1)-Dimensional Gravity (gr-qc/9503024, 1995).
14. We thank A. Higuchi and H. Kodama for pointing out this point.
15. H. Kodama, preprint, YITP-97-25 (gr-qc/9705066, 1997).