Kasner-type cosmological solutions in N = 1 supergravity

Mathematics

Scientific paper

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Cosmology, Field Theory (Physics), Space-Time Functions, Supergravity, Astronomical Models, Equations Of Motion, Gauge Theory, Singularity (Mathematics)

Scientific paper

An exact solution in N = 1 supergravity for a Kasner (Bianchi type-I) cosmological metric is presented. The gauge (gamma exp mu)psi(mu) = 0 is used together with the ansatz psi(0) = psi(3) = 0 and a three-generator Grassmann algebra. The stress-energy tensor for the gravitino field psi(mu) is shown to be zero, so it is a 'ghost' field. The solution corresponds to a universe that is always expanding but is singular at some time in the past where the metric, the curvature and the psi(mu) field become infinite.

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