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Modified gravity and its reconstruction from the universe expansion history

Shin'ichi Nojiri1 and Sergei D Odintsov2

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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 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.


PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

95.30.Sf Relativity and gravitation

04.50.-h Higher-dimensional gravity and other theories of gravity

95.36.+x Dark energy

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 1 (2007)



  1. Modified gravity and its reconstruction from the universe expansion history

    Shin'ichi Nojiri and Sergei D Odintsov 2007 J. Phys.: Conf. Ser. 66 012005

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  4. Pull-in instability of nano-switches using nonlocal elasticity theory

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    Guo-Hua Feng and Ri-Hong Chen 2008 J. Micromech. Microeng. 18 015016

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    A R Kwon et al 2009 New J. Phys. 11 083013

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    S Solve et al 2009 Metrologia 46 01002

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