Mathematics – Logic
Scientific paper
Nov 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4.1477m&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, Nov. 1, 1987, p. 1477-1486.
Mathematics
Logic
65
Cosmology, Quantum Theory, Relativity, Supergravity, Supersymmetry, Astronomical Models, Equations Of State, Hamiltonian Functions, Roots Of Equations, Space-Time Functions
Scientific paper
Quantum cosmology of Bianchi type I cosmological models are studied using N = 1 supergravity as the natural square root of gravity. The homogeneous Lagrangian for the model is constructed, and the full Einstein and Rarita-Schwinger equations for the metric and gravitino fields are compared with equations obtained from variations of the Lagrangian. From this comparison, the algebraic constraints due to the nondiagonal Einstein equations are derived. The quantum equations constructed from the square root formalism of Teitelboim et al. (1977) are given.
Macias Alfredo
Obregon Octavio
Ryan Michael P. Jr.
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