We give the review of modified gravity as applied to Universe evolution. It is shown that number of modified gravities may provide the consistent unification of the early-time inflation with late-time acceleration. Special attention is paid to F(R) gravity which represents the most developed class of such theories. Specific features of possible evolution in such theories are indicated: singular inflation, bounces, etc. We also show the possible modification of TOV equations for relativistic stars in modified gravities. As a result the mass-radius relation may change qualitatively giving the window for the increase of mass for relativistic stars with small radii.
The results are based on the following works:
1. S. Nojiri and S.D. Odintsov, Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models. Phys. Rept. 505, 2011, 59, doi:10.1016/j.physrep.2011.04.001, arXiv:1011.0544 [gr-qc].
2. A.V. Astashenok, S. Capozziello and S.D. Odintsov, Extreme neutron stars from Extended Theories of Gravity, JCAP 1501, 2015, no.01, 001, doi:10.1088/1475-7516/2015/01/001, arXiv:1408.3856 [gr-qc].
3. A. V. Astashenok, A. de la Cruz-Dombriz and S.D. Odintsov, The realistic models of relativistic stars in f(R) = R + alpha R^2 gravity, arXiv:1704.08311 [gr-qc].
|Type of contribution||Invited talk|