Open this publication in new window or tab >>2000 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]
In this thesis we study various properties of the Lanczos spinor. The results include an algebraic classification scheme for symmetric (3,1)-spinors, a link between Lanczos potentials of the Weyl spinor and the spin coefficients in certain classes of spacetimes, an existence proof for the Lanczos potential of a general Weyl candidate that is much simpler than those previously known and the existence of a symmetric potential HABA'B' of an arbitrary symmetric (3,1)-spinor LABCA' in Einstein spacetimes according tothe equation LABCA' = ∇(AB' HBC)A'B'. In addition we study a large subclass of algebraically special spacetimes and obtain necessary and sufficient conditions for a Lanczos potential of the Weyl spinor to define a metric, curvature-free connection; we also prove existence of such connections. This construction is analogous to a construction of quasi-local momentum in the Kerr spacetime by Bergqvist and Ludvigsen and we therefore obtain an analogue of the Nester-Witten 2-form in these spacetimes.
Place, publisher, year, edition, pages
Linköping: Linköping University, 2000. p. 18
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 633
National Category
Mathematical Analysis
Identifiers
urn:nbn:se:liu:diva-183660 (URN)9172197250 (ISBN)
Public defence
2000-05-31, BL32, hus B, bv, ingång 23, Linköpings Universitet, Linköping, 13:15
Opponent
Note
All or some of the partial works included in the dissertation are not registered in DIVA and therefore not linked in this post.
2022-03-162022-03-162022-03-16Bibliographically approved