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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 3, Pages 369–379 (Mi tmf5548)  
This article is cited in 7 scientific papers (total in 7 papers)

Conservation laws for spinor fields on a Riemannian spacetime manifold

R. F. Bilyalov

Kazan State University
Full-text PDF (983 kB) Citations (7)
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Abstract: The analog of the polar decomposition theorem in Euclidean space is obtained in Minkowski space. The possibility of considering spinors in arbitrary frames is established by extending a Lorentz-group representation to a representation of the complete linear group in the space of spinors. The Lie derivative of spinors along arbitrary vector fields is constructed, and a Noether theorem for spinor fields is proved.
Received: 13.05.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 90, Issue 3, Pages 252–259
DOI: https://doi.org/10.1007/BF01036530
Bibliographic databases:
Language: Russian
Citation: R. F. Bilyalov, “Conservation laws for spinor fields on a Riemannian spacetime manifold”, TMF, 90:3 (1992), 369–379; Theoret. and Math. Phys., 90:3 (1992), 252–259
Citation in format AMSBIB
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\by R.~F.~Bilyalov
\paper Conservation laws for spinor fields on a~Riemannian spacetime manifold
\jour TMF
\yr 1992
\vol 90
\issue 3
\pages 369--379
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182303}
\zmath{https://zbmath.org/?q=an:0790.53015}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 90
\issue 3
\pages 252--259
\crossref{https://doi.org/10.1007/BF01036530}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KF10700003}
Linking options:
  • https://www.mathnet.ru/eng/tmf5548
  • https://www.mathnet.ru/eng/tmf/v90/i3/p369
    • This publication is cited in the following 7 articles:
    1. Pitts J.B., “Change in Hamiltonian General Relativity With Spinors”, Found. Phys., 51:6 (2021), 109  crossref  isi
    2. Pitts J.B., “The Nontriviality of Trivial General Covariance: How Electrons Restrict ‘Time’ Coordinates, Spinors (Almost) Fit Into Tensor Calculus, and 7/16 of a Tetrad Is Surplus Structure”, Stud. Hist. Philos. Mod. Phys., 43:1 (2012), 1–24  crossref  isi
    3. J. Brian Pitts, “Gauge-invariant localization of infinitely many gravitational energies from all possible auxiliary structures”, Gen Relativ Gravit, 42:3 (2010), 601  crossref
    4. R. F. Bilyalov, “Spinors on Riemannian manifolds”, Russian Math. (Iz. VUZ), 46:11 (2002), 6–23  mathnet  mathscinet  zmath
    5. R. F. Bilyalov, B. S. Nikitin, “Spinors in arbitrary frames. The covariant derivative and the Lie derivative of spinors”, Russian Math. (Iz. VUZ), 42:6 (1998), 7–15  mathnet  mathscinet
    6. R. F. Bilyalov, “Various methods for application of noether's theorem to construction of symmetric energy-momentum tensors of spinor fields”, Russ Phys J, 40:6 (1997), 514  crossref
    7. R. F. Bilyalov, “The symmetric energy-momentum tensor of the spinor fields”, Theoret. and Math. Phys., 108:2 (1996), 1093–1099  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :175
    References:72
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