Geodesic
Algebraic properties of the Einstein–Cartan action
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 55-63 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Algebraic properties of the matrix operators which act on the torsion in the Einstein–Cartan action are studied. Multiplication rules are written and corresponding equations of motion are explored in different variables. 
@article{ZNSL_2012_398_a2,
     author = {T. A. Bolokhov},
     title = {Algebraic properties of the {Einstein{\textendash}Cartan} action},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {55--63},
     year = {2012},
     volume = {398},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a2/}
}
TY  - JOUR
AU  - T. A. Bolokhov
TI  - Algebraic properties of the Einstein–Cartan action
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2012
SP  - 55
EP  - 63
VL  - 398
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a2/
LA  - ru
ID  - ZNSL_2012_398_a2
ER  - 
%0 Journal Article
%A T. A. Bolokhov
%T Algebraic properties of the Einstein–Cartan action
%J Zapiski Nauchnykh Seminarov POMI
%D 2012
%P 55-63
%V 398
%U http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a2/
%G ru
%F ZNSL_2012_398_a2
T. A. Bolokhov. Algebraic properties of the Einstein–Cartan action. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 55-63. http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a2/

[1] A. Einstein, “The foundation of the general theory of relativity”, Annalen Phys., 49 (1916), 769 ; Annalen Phys., 14 (2005), 517 | DOI | Zbl | DOI

[2] Elie Cartan, “Sur une généralisation de la notion de courbure de Riemann et les espaces à torsion”, C. R. Acad. Sci. (Paris), 174 (1922), 593–595 | Zbl

[3] F. Hehl, Paul von der Heyde, G. Kerlick, J. Nester, “General relativity with spin and torsion: Foundations and prospects”, Rev. Mod. Phys., 48 (1976), 393–416 | DOI | MR

[4] L. D. Faddeev, New variables for the Einstein theory of gravitation, arXiv: 0911.0282[hep-th]

[5] L. D. Faddeev, “Novye dinamicheskie peremennye v teorii tyagoteniya Einshteina”, TMF, 166:3 (2011), 323–335 | DOI | Zbl

[6] E. Study, “Über Systeme complexer Zahlen und ihre Anwendungen in der Theorie der Transformationsgruppen”, Monatshefte für Mathematik, 1:1 (1890), 283–354 | DOI | MR | Zbl