Skip to main content

The Canonical Approach to Quantum Gravity: General Ideas and Geometrodynamics

  • Chapter
Approaches to Fundamental Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 721))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderson, A. and DeWitt, B. (1986). Does the topology of space fluctuate. Foundations of Physics, 16, 91.

    Article  MathSciNet  ADS  Google Scholar 

  2. Geroch, R. (1967). Topology in General Relativity. Journal of Mathematical Physics, 8, 782–786.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. Gibbons, G.W. and Hawking, S.W. (1992). Selection rules for topology change. Communications in Mathematical Physics, 148, 345–352.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. Giulini, D. (1992). On the selection rules for spin-Lorentz cobordisms. Communications in Mathematical Physics, 148, 353–357.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. Giulini, D. and Kiefer, C. (1994). Wheeler–DeWitt metric and the attractivity of gravity. Physics Letters A, 193, 21–24.

    Article  ADS  Google Scholar 

  6. Giulini, D. (1995a). On the Configuration-Space Topology in General Relativity Helvetica Physica Acta, 68, 87–111.

    Google Scholar 

  7. Giulini, D. (1995b). What is the geometry of superspace. Physical Review D, 51, 5630–5635.

    Article  ADS  MathSciNet  Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  10. Henneaux, M. and Teitelboim, C. (1992). Quantization of Gauge Systems (Princeton University Press, Princeton).

    MATH  Google Scholar 

  11. Hojman, S.A., Kuchař, K., and Teitelboim, C. (1976). Geometrodynamics regained. Annals of Physics, 96, 88–135.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. Horowitz, G. (1991). Topology change in classical and quantum gravity. Classical and Quantum Gravity, 8, 587–602.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  13. Isham, C. and Kuchař, K. (1985a). Representations of spacetime diffeomorphisms I: canonical parametrised spacetime theories. Annals of Physics 164, 288–315.

    Article  ADS  Google Scholar 

  14. Isham, C. and Kuchař, K. (1985b). Representations of spacetime diffeomorphisms II: canonical geometrodynamics. Annals of Physics 164, 316–333.

    Google Scholar 

  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).

    Google Scholar 

  16. Kiefer, C. (2007). Quantum Gravity, 2nd edn (Oxford University Press, Oxford).

    Book  MATH  Google Scholar 

  17. Kiefer, C. (2006). Quantum gravity: general introduction and recent developments. Annalen der Physik, 15, 129–148.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. Kuchař, K. (1974). Geometrodynamics regained: a Lagrangian approach. Journal of Mathematical Physics, 15, 708–715.

    Article  MathSciNet  ADS  Google Scholar 

  19. Sorkin, R. (1997). Forks in the road, on the way to quantum gravity. International Journal of Theoretical Physics, 36, 2759–2781.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  20. Zeh, H.D. (2007). The Physical Basis of the Direction of Time, 5th edn (Springer, Berlin). See also http://www.time-direction.de.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Giulini, D., Kiefer, C. (2007). The Canonical Approach to Quantum Gravity: General Ideas and Geometrodynamics. In: Stamatescu, IO., Seiler, E. (eds) Approaches to Fundamental Physics. Lecture Notes in Physics, vol 721. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71117-9_8

Download citation

Publish with us

Policies and ethics