Skip to main content
SpringerLink
Log in

Phase space formulation of general relativity without a 3+1 splitting

  • E. Symplectic Geometry and Quantization
  • Conference paper
  • First Online:
The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function

Part of the book series: Lecture Notes in Physics ((LNP,volume 278))

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

Access this chapter

Log in via an institution
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

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. R. Arnowitt, S. Deser and C.W. Misner, in: Gravitation, an introduction to current research, L. Witten ed., Wiley 1962.

    Google Scholar 

  2. P.A.M. Dirac, “Lectures on quantum mechanics”, Yeshiva University Press 1964.

    Google Scholar 

  3. A. Ashtekar and M. Streubel, Proc. R. Soc. Lond. A376 (1981) 585–607.

    Article  ADS  Google Scholar 

  4. A. Ashtekar and A. Magnon-Ashtekar, Comm. Math. Phys. 86 (1982) 55–68.

    Article  ADS  MathSciNet  Google Scholar 

  5. A. Ashtekar, in General relativity and gravitation, vol. 2, A. Held ed., Plenum 1980.

    Google Scholar 

  6. R. Beig and B.G. Schmidt, Comm. Math. Phys. 87 (1982) 65–80.

    Article  ADS  MathSciNet  Google Scholar 

  7. P.R. Chernoff and J.E. Marsden, “Properties of infinite dimensional hamiltonian systems”, Springer-Verlag 1974.

    Google Scholar 

  8. H. Bondi, M.G.J. van der Burg and A.W.K. Metzner, Proc. R. Soc. Lond. A269 (1962) 21–52.

    Article  ADS  Google Scholar 

  9. R.K. Sachs, Phys. Rev. 128 (1962) 2851–2864.

    Article  ADS  MathSciNet  Google Scholar 

  10. R. Penrose, Proc. R. Soc. Lond. A284 (1965) 159–203.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, Syracuse University, 13244-1130, Syracuse, NY, USA

    Abhay Ashtekar, Luca Bombelli & Rabinder Koul

Authors
  1. Abhay Ashtekar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Luca Bombelli
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Rabinder Koul
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Y. S. Kim W. W. Zachary

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Ashtekar, A., Bombelli, L., Koul, R. (1987). Phase space formulation of general relativity without a 3+1 splitting. In: Kim, Y.S., Zachary, W.W. (eds) The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function. Lecture Notes in Physics, vol 278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17894-5_378

Download citation

  • DOI: https://doi.org/10.1007/3-540-17894-5_378

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17894-1

  • Online ISBN: 978-3-540-47901-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation