Abstract
We have studied semiclassical models with a classical scalar field, givingexact solutions in the cases of a λ φ4 and an exponentialself-interaction potential, in the last case we have also studied theinfluence of the vacuum polarization terms on the stability of the power-lawsolutions. We have also found cosmological exact solutions to the higherorder gravitational equations derived from a Lagrangian with a R □k Rstructure, and investigated the stability of the de Sitter and Minkowskispace-time in the sixth order approximation of this theory.
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Chimento, L.P., Zuccalá, N.A. Cosmological models in semi-classical and higher order gravitational theories. Astrophysics and Space Science 274, 837–849 (2000). https://doi.org/10.1023/A:1026574105476
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DOI: https://doi.org/10.1023/A:1026574105476