MG13 - Talk detail

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Abstract

f(R) gravity where R is the Ricci scalar represents the simplest non-perturbative generally covariant generalization of the Einstein gravity where it is possible to avoid the appearance of new ghost and tachyon degrees of freedom. Its most interesting applications in cosmology are related to the possibility to use it for description of both types of dark energy which have appeared during the Universe evolution: primordial dark energy driving inflation in the early Universe and present dark energy producing the present accelerated expansion of the Universe. I discuss several topics in f(R) gravity where interesting results have been obtained during last years: 1. Relation and differences between the R+R^2 inflation and the Higgs inflation. 2. Neutrino masses in f(R) models of present dark energy. 3. Structure of a weak singularity arising in solutions of f(R) models where f"(R) becomes zero at finite or infinite R. 4. Post-inflationary evolution in models describing both types of dark energy in the scope of f(R) gravity.

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