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Supersymmetric classical cosmology

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arxiv 1009.4233 v1 pith:YVQNMZYN submitted 2010-09-21 gr-qc astro-ph.CO

Supersymmetric classical cosmology

classification gr-qc astro-ph.CO
keywords supersymmetricfieldscalarclassicalequationsfactormodelscale
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In this work a supersymmetric cosmological model is analyzed in which we consider a general superfield action of a homogeneous scalar field supermultiplet interacting with the scale factor in a supersymmetric FRW model. There appear fermionic superpartners associated with both the scale factor and the scalar field, and classical equations of motion are obtained from the super-Wheeler-DeWitt equation through the usual WKB method. The resulting supersymmetric Einstein-Klein-Gordon equations contain extra radiation and stiff matter terms, and we study their solutions in flat space for different scalar field potentials. The solutions are compared to the standard case, in particular those corresponding to the exponential potential, and their implications for the dynamics of the early Universe are discussed in turn.

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