Asymptotically Friedmann and Friedmann-type solutions to Einstein's equations when quantum effects due to conformally invariant fields are taken into account

Journal Article · Wed May 15 00:00:00 EDT 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.2470· OSTI ID:5902265

Wada, S

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.

• Research Organization: Institute of Physics, University of Tokyo-Komaba, Komaba 3-8-1, Tokyo 153, Japan
• OSTI ID: 5902265
• Journal Information: Phys. Rev. D; (United States), Vol. 31:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
METRICS
EINSTEIN FIELD EQUATIONS
VACUUM POLARIZATION
CONFORMAL INVARIANCE
EQUATIONS OF MOTION
GRAVITATIONAL FIELDS
QUANTUM FIELD THEORY
RENORMALIZATION
UNIVERSE
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
645400* - High Energy Physics- Field Theory