Accelerating cosmology in modified gravity: from convenient $F(R)$ or string-inspired theory to bimetric $F(R)$ gravity

Abstract

We consider modified gravity which may describe the early-time inflation and/or late-time cosmic acceleration of the universe. In particular, we discuss the properties of $F(R)$, $F(G)$, string-inspired and scalar-Einstein-Gauss-Bonnet gravities, including their FRW equations and fluid or scalar-tensor description. Simplest accelerating cosmologies are investigated and possibility of unified description of the inflation with dark energy is described. The cosmological reconstruction program which permits to get the requested universe evolution from modified gravity is developed. As some extension, massive $F(R)$ bigravity which is ghost-free theory is presented. Its scalar-tensor form turns out to be the easiest formulation. The cosmological reconstruction method for such bigravity is presented. The unified description of inflation with dark energy in $F(R)$ bigravity turns out to be possible.

LaTeX 23 pages, contribution to the proceedings of "49th Winter School of Theoretical Physics Cosmology and non-equilibrium statistical mechanics", L{\ka}dek-Zdrój, Poland, February 10-16, 2013

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• An Exponential F(R) Dark Energy Model
• Tolman-Oppenheimer-Volkoff Equations and their implications or the structures of relativistic Stars in f(T) gravity
• Whether Lyra's Manifold Itself is a Hidden Source of Dark Energy
• Little Rip and Pseudo Rip Phenomena from Coupled Dark Energy
• Phenomenological models of Universe with varying $G$ and $\Lambda$