Mathematics
Scientific paper
Jan 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4...79r&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, Jan. 1, 1987, p. 79-87.
Mathematics
6
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.
Rosenbaum Marcos
Ryan Mark
Urrutia Luis F.
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