Self-consistent solutions of the semi-classical back-reaction equations with cosmological constant spatial curvature and perfect fluid

Mathematics

Scientific paper

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Constants, Cosmology, Einstein Equations, Field Theory (Physics), Gravitation Theory, Quantum Theory, Universe, Curvature, Flux Density, Ideal Fluids, Singularity (Mathematics), Stability

Scientific paper

Exact solutions of the semi-classical Eistein equations with cosmological constant for conformally invariant free quantum fields in a general Robertson-Walker metric are found when a classical perfect fluid is present. There exist a one-parameter family of time-symmetric bouncing solutions that avoid the singularity and a one-parameter family which does not have particles horizons. The de Sitter solution is found to be stable, while the Einstein universe is unstable.

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