The Open Astronomy Journal

2010, 3 : 20-29
Published online 2010 June 3. DOI: 10.2174/1874381101003010020
Publisher ID: TOAAJ-3-20

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

Guido Cognola , Emilio Elizalde Shin'ichi Nojiri and Sergei D. Odintsov
Dipartimento di Fisica, Università di Trento, and Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Trento, Italia.

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.

Keywords:

Dark energy, modified gravity, induced cosmological constant.