Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-24
Phys.Rev.D77:046009,2008
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 2 figures, version to appear in Physical Review D
Scientific paper
10.1103/PhysRevD.77.046009
A general approach to viable modified $f(R)$ gravity is developed in both the Jordan and the Einstein frames. A class of exponential, realistic modified gravities is introduced and investigated with care. Special focus is made on step-class models, most promising from the phenomenological viewpoint and which provide a natural way to classify all viable modified gravities. One- and two-steps models are explicitly considered, but the analysis is extensible to $N$-step models. Both inflation in the early universe and the onset of recent accelerated expansion arise in these models in a natural, unified way. Moreover, it is demonstrated that models in this category easily pass all local tests, including stability of spherical body solution, non-violation of Newton's law, and generation of a very heavy positive mass for the additional scalar degree of freedom.
Cognola Guido
Elizalde Emilio
Nojiri Shin'ich
Odintsov Sergei D.
Sebastiani Lorenzo
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