Einstein-Kaehler solutions in some cosmological space-times

Statistics – Computation

Scientific paper

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Computational Astrophysics, Cosmology, Einstein Equations, Space-Time Functions, Dirac Equation, Minkowski Space, Universe

Scientific paper

Self-consistent solutions of the coupled Einstein-Kaehler field equations in space-time geometries described by Robertson-Walker metrics are investigated analytically, including a cosmological term and the stress energy of a homogeneous isotropic fluid to facilitate comparison with standard cosmological models. Massive and massless equations in Minkowski, de Sitter, and Friedmann space-times are considered; a set of projectors decomposing the Kaehler field into four minimal left ideals is obtained, and it is shown that only the ideals for Minkowski space-time can be identified with Dirac spinors.

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