Vacuum energy fluctuations, the induced cosmological constant and cosmological reconstruction in non-minimal modified gravity models

TL;DR

This paper investigates quantum vacuum fluctuations in non-minimal scalar modified gravity, showing they can induce early universe inflation and unify it with late-time acceleration through a reconstructed cosmological model.

Contribution

It derives the one-loop effective action and induced cosmological constant for non-minimal scalar gravity, revealing quantum effects can generate inflationary solutions absent classically.

Findings

Quantum effects induce early-time de Sitter universe.

Reconstructed models unify inflation and late-time acceleration.

Classical solutions can be extended by quantum corrections.

Abstract

The one-loop effective action for non-minimal scalar modified gravity on de Sitter background with a constant scalar field is found. The corresponding induced cosmological constant is evaluated. It is shown that quantum effects in non-minimal modified gravity may induce an early-time de Sitter universe even in the situation when such solution does not occur on the classical level. Classical reconstruction of the theory is presented in such a way that the resulting theory has a cosmological solution unifying early-time inflation with late-time acceleration.