Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-05-05
Eur.Phys.J.C64:483-494,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
latex file, 17 pages, 4 figures. Published version. Significative improvement and new references
Scientific paper
10.1140/epjc/s10052-009-1154-4
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.
Cognola Guido
Elizalde Emilio
Nojiri Shin'ichi
Odintsov Sergei D.
Zerbini Sergio
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