Vacuum Energy Fluctuations, The Induced Cosmological Constant and Cosmological Reconstruction in Non-Minimal Modified Gravity Models

摘要

The one-loop effective action for non-minimal scalar modified gravity on de Sitter background with a constantscalar field is found. The corresponding induced cosmological constant is evaluated. It is shown that quantum effects innon-minimal modified gravity may induce an early-time de Sitter universe even in the situation when such solution doesnot occur on the classical level. Classical reconstruction of the theory is presented in such a way that the resulting theoryhas a cosmological solution unifying early-time inflation with late-time acceleration.