English

On the Velo-Zwanziger phenomenon

Mathematical Physics 2008-11-26 v1 General Relativity and Quantum Cosmology math.MP

Abstract

The Rarita-Schwinger equation in a curved background and an external electromagnetic field is discussed. We analyse the equation in the 2-component spinor formalism and derive Buchdahl conditions for them. The result is that the equation can consistently be imposed only on Einstein manifolds with vanishing electromagnetic field.

Keywords

Cite

@article{arxiv.math-ph/0207033,
  title  = {On the Velo-Zwanziger phenomenon},
  author = {J. Frauendiener},
  journal= {arXiv preprint arXiv:math-ph/0207033},
  year   = {2008}
}
R2 v1 2026-07-22T16:21:43.607Z