Skip to main content
SpringerLink
Log in

Twistors, asymptotic symmetries and conservation laws at null and spatial infinity

  • Conference paper
  • First Online:
Asymptotic Behavior of Mass and Spacetime Geometry

Part of the book series: Lecture Notes in Physics ((LNP,volume 202))

Abstract

The relationship between Penrose 2-surface twistors defined on infinite spheres and generators of asymptotic symmetry groups is elucidated, at both null and spatial infinity. At null infinity one finds a new elegant reformulation of the notion of a Linkage associated with generators of the B.M.S. group, and finds explicit integrals for the “Hamiltonian” flux of angular momentum given by Ashtekar and Streubel (1981). At spatial infinity one recovers conservation laws similar to those given by Ashtekar and Hansen (1978), but with additional invariance properties.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ashtekar, A. & Hansen, R.O. 1978 J. Math. Phys. 19, 1542

    Article  ADS  MathSciNet  Google Scholar 

  2. Ashtekar, A. & Strebuel, M. 1981 Proc. R. Soc. Lond. A376, 585

    ADS  Google Scholar 

  3. Beig, R. & Schmidt, B.G. 1982 Comm. Math. Phys. 87, 65

    Article  MathSciNet  MATH  ADS  Google Scholar 

  4. Bramson, B.D. 1975 Proc. R. Soc. Lond. A341, 436

    Google Scholar 

  5. Dray, T. & Strebuel, M. 1983 Preprint, Max-Planck-Institute, Munich

    Google Scholar 

  6. Geroch, R. 1977 In Asymptotic Structure of Space-Time (ed. Esposito, E.P. & Witten, L.) New York: Plenum

    Google Scholar 

  7. Geroch, R., Held, A. & Penrose, R. 1973 J. Math. Phys. 14, 874

    Article  MathSciNet  MATH  ADS  Google Scholar 

  8. Geroch, R. & Winicour, J. 1981 J. Math. Phys. 22, 803

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. Penrose, R. 1982 Proc. R. Soc. Lond. A381, 53–63

    ADS  MathSciNet  Google Scholar 

  10. Sen, A. 1981 J. Math. Phys. 22, 1781

    Article  ADS  MATH  MathSciNet  Google Scholar 

  11. Shaw, W.T. 1983 Proc. R. Soc. Lond. in press

    Google Scholar 

  12. Sommers, P. 1978 J. Math. Phys. 19, 549

    Article  ADS  Google Scholar 

  13. Tod, K.P. 1983 Proc. R. Soc. Lond. A388, 457

    ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematical Institute, 24-29 St., Giles, Oxford

    William T. Shaw

Authors
  1. William T. Shaw
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Francis J. Flaherty

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Shaw, W.T. (1984). Twistors, asymptotic symmetries and conservation laws at null and spatial infinity. In: Flaherty, F.J. (eds) Asymptotic Behavior of Mass and Spacetime Geometry. Lecture Notes in Physics, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0048076

Download citation

  • DOI: https://doi.org/10.1007/BFb0048076

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13351-3

  • Online ISBN: 978-3-540-38897-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation