2006/11/30 by Shin'ichi Nojiri, Shin’ichi Nojiri, Sergei D. Odintsov · 394 citations
Physics and Astronomy · #Astronomy #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Metric expansion of space #Physics #Relativity and Gravitational Theory #Theoretical physics #Universe #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1088/1742-6596/66/1/012005
published in Journal of Physics Conference Series 66, 012005 (IOP Publishing) · LaTeX file, 24 pages, no figure, prepared for the proceedings of ERE 2006, minor corrections
arxiv created 2006/12/02 · openalex publication_date 2007/05/01 · arxiv updated 2010/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
We develop the reconstruction program for the number of modified gravities: scalar-tensor theory, f ( R ), F ( G ) and string-inspired, scalar-Gauss-Bonnet gravity. The known (classical) universe expansion history is used for the explicit and successful reconstruction of some versions (of special form or with specific potentials) from all above modified gravities. It is demonstrated that cosmological sequence of matter dominance, deceleration-acceleration transition and acceleration era may always emerge as cosmological solutions of such theory. Moreover, the late-time dark energy FRW universe may have the approximate or exact ΓCDM form consistent with three years WMAP data. The principal possibility to extend this reconstruction scheme to include the radiation dominated era and inflation is briefly mentioned. Finally, it is indicated how even modified gravity which does not describe the matter-dominated epoch may have such a solution before acceleration era at the price of the introduction of compensating dark energy.