Rosenbaum, M.; Ryan, M.; Urrutia, L. F. Kasner-type cosmological solutions in \(N=1\) supergravity. (English) Zbl 0611.53069 Classical Quantum Gravity 4, 79-87 (1987). An exact solution in \(N=1\) supergravity for a Kasner (Bianchi type-I) cosmological metric is presented. We use the gauge \(\gamma^{\mu}\psi_{\mu}=0\) together with the ansatz \(\psi_ 0=\psi_ 3=0\) and a three-generator Grassmann algebra. The stress-energy tensor for the gravition field is always expanding but is singular at some time in the past where the metric, the curvature and the \(\psi_{\mu}\) field become infinite. Cited in 2 Documents MSC: 53B50 Applications of local differential geometry to the sciences 83E50 Supergravity Keywords:exact solution; supergravity; Bianchi type-I; cosmological metric PDFBibTeX XMLCite \textit{M. Rosenbaum} et al., Classical Quantum Gravity 4, 79--87 (1987; Zbl 0611.53069) Full Text: DOI