Mathematics – Logic
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.2470w&link_type=abstract
Physical Review D (Particles and Fields), Volume 31, Issue 10, 15 May 1985, pp.2470-2475
Mathematics
Logic
17
Exact Solutions
Scientific paper
Vacuum polarization of quantum matter fields introduces higher-derivative terms and the conformal anomaly to Einstein's equations. We study their effects on cosmological solutions in a general Robertson-Walker metric, by expressing the relevant back-reaction equation as the equation of motion for a (anti-)dissipative system. In particular, we classify the solutions which can become candidates for our universe. They include not only asymptotically Friedmann solutions (singular or particular solutions) but also general solutions close to them and other Friedmann-type solutions, some of which undergo a de Sitter expansion in the early stage.
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