Skip to main content
SpringerLink
Log in

Consistent spinor equations

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

Long-recognized curvature inconsistencies forS≥3/2 spinor equations are shown to result from an inconsistent transport law for the Infeld-Van der Waerden σ-symbols implied by conventional spinor derivatives. A curvature-free connection for the σ-symbols and a simple spinor form of the Levi-Civita connection for spinor fields yields consistent equations for any spin with no curvature restrictions.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Buchdahl, AH.,Nuo. Cim. 10, 96 (1958);25, 487 (1962);Class. quantum Grav. 1, 189 (1984).

    Google Scholar 

  2. Fordy, AA.,Gen. Rel. Grav. 9, 387 (1978).

    Google Scholar 

  3. Choquet-Bruhat, AY.,Lett. Math. Phys. 7, 459 (1983).

    Google Scholar 

  4. Geroch, AR.,J. Math. Phys. 9, 1739 (1968);11, 343 (1970).

    Google Scholar 

  5. Parker, AP.,J. Math. Phys. 25, 597 (1984).

    Google Scholar 

  6. Recent results relating topologies of compact 4-manifolds and the geometry of gauge fields definable on them is discussed in S. Donaldson,J. Diff. Geom. 18, 279 (1983). There the fields are differential forms which relate directly to bundle and base-manifold cohomologies.

    Google Scholar 

  7. Pirani, AF. A. E., ‘Introduction to Gravitational Radiation Theory’, inLectures on General Relativity, Brandies, 1964, Prentice-Hall, Englewood Cliffs, 1965.

    Google Scholar 

  8. Penrose, R. and Rindler, W.,Spinors and Space-time, Vol. 1, Cambridge, New York, 1984.

  9. Urani, AJ. and Kutchko, AF.,J. Math. Phys. 26, 946 (1985).

    Google Scholar 

  10. Heyl, AF., Von der Heyde, AP., and Kerlick, AG.,Rev. Mod. Phys. 48, 393 (1976).

    Google Scholar 

  11. Weinberg, AS.,Gravitation and Cosmology, Wiley, New York, 1972, chap. 12.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, University of Missouri-Kansas City, 64110, Kansas City, MO, USA

    John R. Urani

  2. Physics Department, Old Dominion University, 23508, Norfolk, VA, USA

    Frank J. Kutchko

Authors
  1. John R. Urani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Frank J. Kutchko
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Urani, J.R., Kutchko, F.J. Consistent spinor equations. Lett Math Phys 13, 41–44 (1987). https://doi.org/10.1007/BF00570766

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00570766

Keywords

Search

Navigation