Abstract
In the theory of supergravity (N=1), the supersymmetric version of general relativity, and for the Kasner cosmological model (Bianchi type I) we find a non-trivial solution (for the metric and spinor-vector) under the most simple assumption ψμ=ε1ψμ1 + ε2ψμ2; ε1ε2+ε2ε1=0 and for a special choosed gaugeN=1,N j=0, ψ0=0. This method could be also applied to other cosmological metrics and extended to enlarged Grassmann basis.
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O. Obregón was partially supported by the Alexander von Humboldt Stiftung.
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Macías, A., Obregón, O. (Super) cosmological solution for the Kasner model. Astrophys Space Sci 148, 297–304 (1988). https://doi.org/10.1007/BF00645967
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DOI: https://doi.org/10.1007/BF00645967