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Self-consistent solutions of the semi-classical Einstein equations with cosmological constant and perfect fluid

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Abstract

Exact solutions of the semi-classical Einstein equations with cosmological constant for conformally invariant free quantum fields in a spatially flat Robertson-Walker metric are found when a classical perfect fluid is present. The stability of the asymptotically Friedmann-de Sitter solutions is studied. The formers are found to be stable ifα < 0, while the stability of the latter depends of the signs ofα β, and A.

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Fellow of the Consejo Nacional de Investigaciones Científicas y Técnicas.

Supported by scholarship of the Universidad de Buenos Aires.

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Chimento, L.P., Zuccalá, N.A. Self-consistent solutions of the semi-classical Einstein equations with cosmological constant and perfect fluid. Astrophys Space Sci 201, 341–345 (1993). https://doi.org/10.1007/BF00627205

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  • DOI: https://doi.org/10.1007/BF00627205

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