One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space
Abstract
We discuss the classical and quantum properties of non-local modified Gauss-Bonnet gravity in de Sitter space, using its equivalent representation via string-inspired local scalar-Gauss-Bonnet gravity with a scalar potential. A classical, multiply de Sitter universe solution is found where one of the de Sitter phases corresponds to the primordial inflationary epoch, while the other de Sitter space solution--the one with the smallest Hubble rate--describes the late-time acceleration of our universe. A Chameleon scenario for the theory under investigation is developed, and it is successfully used to show that the theory complies with gravitational tests. An explicit expression for the one-loop effective action for this non-local modified Gauss-Bonnet gravity in the de Sitter space is obtained. It is argued that this effective action might be an important step towards the solution of the cosmological constant problem.
Cite
@article{arxiv.0905.0543,
title = {One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space},
author = {Guido Cognola and Emilio Elizalde and Shin'ichi Nojiri and Sergei D. Odintsov and Sergio Zerbini},
journal= {arXiv preprint arXiv:0905.0543},
year = {2009}
}
Comments
latex file, 17 pages, 4 figures. Published version. Significative improvement and new references