Modified gravity and its reconstruction from the universe expansion history

By Shin'ichi Nojiri, Sergei D. Odintsov. 2006

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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 ?CDM 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ca9dc5a0d29fe0b8d4af420a4862d6bc28adf530

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Inflationary Cosmology in Modified Gravity Theories (2015, methodology): “The reconstruction method of F (R) gravity proposed in Reference [69] is as follows (for another reconstruction method of F (R) gravity, see References [70–73]).”