We discuss the cosmological reconstruction in modified Gauss-Bonnet (GB) gravity. It is demonstrated that the modified GB gravity may describe the most interesting features of late-time cosmology. We derive explicit form of effective phantom cosmological models ending by the finite-time future singularity (Big Rip) and without singularities in the future (Little Rip).
@article{arxiv.1201.4742,
title = {From Big to Little Rip in modified F(R,G) gravity},
author = {A. N. Makarenko and V. V. Obukhov and I. V. Kirnos},
journal= {arXiv preprint arXiv:1201.4742},
year = {2015}
}