Local existence of symmetric spinor potentials for symmetric (3,1)-spinors in Einstein space-times
2001 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, Vol. 37, no 4, 273-290 p.Article in journal (Refereed) Published
We investigate the possibility of existence of a symmetric potential HABA'B'=H(AB)(A'B') for a symmetric (3,1)-spinor LABCA', e.g., a Lanczos potential of the Weyl spinor, as defined by the equation LABCA'=?(AB'H BC)A'B'. We prove that in all Einstein space-times such a symmetric potential HABA'B' exists. Potentials of this type have been found earlier in investigations of some very special spinors in restricted classes of space-times. A tensor version of this result is also given. We apply similar ideas and results by Illge to Maxwell's equations in a curved space-time. © 2001 Elsevier Science B.V.
Place, publisher, year, edition, pages
2001. Vol. 37, no 4, 273-290 p.
02.40, 04.20.Ex, 81R25, 83C15, Cauchy problem, General relativity, Lanczos potential, Spinors and twistors, Wave equation
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-47465DOI: 10.1016/S0393-0440(00)00055-3OAI: oai:DiVA.org:liu-47465DiVA: diva2:268361