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Local existence of symmetric spinor potentials for symmetric (3,1)-spinors in Einstein space-times
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- Andersson, Fredrik (author)
- Linköpings universitet,Tekniska högskolan,Tillämpad matematik
- Edgar, S.B. (author)
- (creator_code:org_t)
- 2001
- 2001
- English.
- In: Journal of Geometry and Physics. - 0393-0440 .- 1879-1662. ; 37:4, s. 273-290
- Journal article (peer-reviewed)
Abstract
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- 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.
Keyword
- 02.40
- 04.20.Ex
- 81R25
- 83C15
- Cauchy problem
- General relativity
- Lanczos potential
- Spinors and twistors
- Wave equation
- TECHNOLOGY
- TEKNIKVETENSKAP
Publication and Content Type
- ref (subject category)
- art (subject category)
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