Volkov, M. S.; Gal’tsov, D. V. Finite-dimensional Grassmann algebras and structure of the equations of simple supergravity. (English. Russian original) Zbl 0694.58007 Theor. Math. Phys. 80, No. 1, 716-727 (1989); translation from Teor. Mat. Fiz. 80, No. 1, 65-80 (1989). See the review in Zbl 0674.58043. Cited in 1 Document MSC: 58Z05 Applications of global analysis to the sciences 58C50 Analysis on supermanifolds or graded manifolds 83E50 Supergravity 81T60 Supersymmetric field theories in quantum mechanics 15A75 Exterior algebra, Grassmann algebras 53C80 Applications of global differential geometry to the sciences Keywords:Grassmannian expansion; classical supergravity; Grassmann algebra; superfields; superfield expansion; component analysis; supernumber expansion; simple supergravity Citations:Zbl 0475.58022; Zbl 0575.53073; Zbl 0674.58043 PDFBibTeX XMLCite \textit{M. S. Volkov} and \textit{D. V. Gal'tsov}, Theor. Math. Phys. 80, No. 1, 716--727 (1989; Zbl 0694.58007); translation from Teor. Mat. Fiz. 80, No. 1, 65--80 (1989) Full Text: DOI References: [1] D. Z. Freedman, P. van Nieuwenhuizen, and S. Ferrara, Phys. Rev. B,13, 3214 (1976). [2] D. Z. Freedman and P. van Nieuwenhuizen, Phys. Rev. D,14, 912 (1976). [3] S. Deser and B. Zumino, Phys. Lett. B,62, 335 (1976). [4] N. S. Baaklini, S. Ferrara, and P. van Nieuwenhuizen, Lett. Nuovo Cimento,20, 113 (1977). [5] P. C. Aichelburg and T. Dereli, Phys. Rev. D,18, 1754 (1978). [6] T. Dereli and P. C. Aichelburg, Phys. Lett. B,80, 357 (1979). [7] T. Dereli and R. W. Tucker, Phys. Lett. B,97, 396 (1980). [8] L. F. Urrutia, Phys. Lett. B,102, 393 (1981). [9] M. Rosenbaum, M. Ryan, and L. F. Urrutia, Class. Quan. Grav.,4, 79 (1987). · Zbl 0611.53069 [10] M. Rosenbaum, M. Ryan, L. F. Urrutia, and R. A. Matzner, Phys. Rev. D,34, 409 (1986). · Zbl 1222.83188 [11] P. C. Aichelburg and R. Cüven, Phys. Rev. Lett.,51, 1613 (1983). [12] G. W. Gibbons, Nucl. Phys. B,207, 337 (1982). [13] P. Kuusk, Preprint F-31 [in Russian], Institute of Physics, Estonian SSR Academy of Sciences, Tartu (1985). [14] P. Kuusk, Preprint F-33 [in Russian], Institute of Physics, Estonian SSR Academy of Sciences, Tartu (1986). [15] R. J. Finkelstein and J. Kim, J. Math. Phys.,22, 2228 (1981). · Zbl 0475.58022 [16] F. Embacher, Class. Quan. Grav.,2, 323 (1985). · Zbl 0575.53073 [17] R. Güven, Phys. Rev. D,22, 2327 (1980). [18] P. C. Aichelburg and R. Güven, Phys. Rev. D,24, 2066 (1981). [19] L. F. Urrutia, Phys. Lett. B,89, 52 (1979). [20] R. Güven, Phys. Rev. D,25, 3117 (1982). [21] D. V. Gal’tsov, Particles and Fields in the Neighborhood of Black Holes [in Russian], State University, Moscow (1986). [22] S. Deser and C. Teitelboim, Phys. Rev. Lett.,39, 249 (1977). [23] P. C. Aichelburg and R. Güven, Phys. Lett. B,135, 291 (1984). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.