Exact solutions of the Einstein equations including quantum effects and classical matter

Details Exact solutions of the Einstein equations including quantum effects and classical matter Exact solutions of the Einstein equations including quantum effects and classical matter

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6.1285c&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Sept. 1989, p. 1285-1299.

Astronomy and Astrophysics

Astrophysics

15

Astrophysics, Einstein Equations, Quantum Theory, Space-Time Functions, Asymptotic Properties, Big Bang Cosmology, Equations Of Motion, Matter (Physics), Singularity (Mathematics)

Scientific paper

The general solution to the semiclassical backreaction equations is found for conformally invariant free quantum fields in spatially flat homogeneous and isotropic spacetimes containing classical matter and no cosmological constant when the ratio of the renormalization parameters beta/alpha is 9/4. For both signs of alpha, there is always a matter-dominated Friedmann solution and it is stable when alpha is less 0. If alpha is greater than 0, there are two two-parameter and four one-parameter families of time-nonsymmetric bouncing solutions which contain no singularities and two of the latter have a final matter Friedmann stage. There are four one-parameter and four zero-parameter families of solutions with singularities and no particle horizons and two of the latter have a final matter Friedmann stage. The final behavior of the solutions is investigated for other values of beta/alpha and the asymptotically de Sitter solutions are found to be stable when alpha is greater that 0.

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