The canonical approach to quantum gravity: General ideas and geometrodynamics

Lecture Notes in Physics

Volumn 721, Issue , 2007, Pages 131-150

  Giulini, D ^a   Kiefer, C ^b  

^a UNIVERSITY OF FREIBURG   (Germany)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34948869865     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-71117-9_8     Document Type: Article

References (20)

1. Anderson, A. and DeWitt, B. (1986). Does the topology of space fluctuate. Foundations of Physics, 16, 91.
2. Geroch, R. (1967). Topology in General Relativity. Journal of Mathematical Physics, 8, 782-786.
3. Gibbons, G.W. and Hawking, S.W. (1992). Selection rules for topology change. Communications in Mathematical Physics, 148, 345-352.
4. Giulini, D. (1992). On the selection rules for spin-Lorentz cobordisms. Communications in Mathematical Physics, 148, 353-357.
5. Giulini, D. and Kiefer, C. (1994). Wheeler-DeWitt metric and the attractivity of gravity. Physics Letters A, 193, 21-24.
6. Giulini, D. (1995a). On the Configuration-Space Topology in General Relativity Helvetica Physica Acta, 68, 87-111.
7. Giulini, D. (1995b). What is the geometry of superspace. Physical Review D, 51, 5630-5635.
8. Giulini, D. (1998). On the construction of time-symmetric black-hole initial data. In Black Holes: Theory and Observation (eds. F. Hehl, C. Kiefer, and R. Metzler), pp. 224-243. Lecture Notes in Physics 514. Springer, Berlin.
9. Hájíček, P. (2003). Quantum theory of gravitational collapse (lecture notes on quantum conchology). In Quantum Gravity: From Theory to Experimental Search (eds. D. Giulini, C. Kiefer, and C. Lämmerzahl), pp. 255-299. Lecture Notes in Physics 631. Springer, Berlin.
10. Henneaux, M. and Teitelboim, C. (1992). Quantization of Gauge Systems (Princeton University Press, Princeton).
11. Hojman, S.A., Kuchař, K., and Teitelboim, C. (1976). Geometrodynamics regained. Annals of Physics, 96, 88-135.
12. Horowitz, G. (1991). Topology change in classical and quantum gravity. Classical and Quantum Gravity, 8, 587-602.
13. Isham, C. and Kuchař, K. (1985a). Representations of spacetime diffeomorphisms I: Canonical parametrised spacetime theories. Annals of Physics 164, 288-315.
14. Isham, C. and Kuchař, K. (1985b). Representations of spacetime diffeomorphisms II: Canonical geometrodynamics. Annals of Physics 164, 316-333.
15. Joos, E., Zeh, H.D., Kiefer, C., Giulini, D., Kupsch, J., and Stamatescu, I.-O. (2003). Decoherence and the Appearance of a Classical World in Quantum Theory, 2nd edn (Springer, Berlin).
16. Kiefer, C. (2007). Quantum Gravity, 2nd edn (Oxford University Press, Oxford).
17. Kiefer, C. (2006). Quantum gravity: General introduction and recent developments. Annalen der Physik, 15, 129-148.
18. Kuchař, K. (1974). Geometrodynamics regained: A Lagrangian approach. Journal of Mathematical Physics, 15, 708-715.
19. Sorkin, R. (1997). Forks in the road, on the way to quantum gravity. International Journal of Theoretical Physics, 36, 2759-2781.
20. Zeh, H.D. (2007). The Physical Basis of the Direction of Time, 5th edn (Springer, Berlin). See also http://www.time-direction.de.