liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Local existence of symmetric spinor potentials for symmetric (3,1)-spinors in Einstein space-times
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2001 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, Vol. 37, no 4, 273-290 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
02.40, 04.20.Ex, 81R25, 83C15, Cauchy problem, General relativity, Lanczos potential, Spinors and twistors, Wave equation
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-47465DOI: 10.1016/S0393-0440(00)00055-3OAI: diva2:268361
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-13

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Andersson, Fredrik
By organisation
The Institute of TechnologyApplied Mathematics
In the same journal
Journal of Geometry and Physics
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 58 hits
ReferencesLink to record
Permanent link

Direct link