From Big to Little Rip in modified F(R,G) gravity

TL;DR

This paper explores how modified Gauss-Bonnet gravity can model late-time cosmological phenomena, including Big Rip and Little Rip scenarios, by reconstructing effective phantom cosmologies.

Contribution

It provides explicit forms of modified Gauss-Bonnet gravity models capable of producing Big Rip and Little Rip cosmological outcomes.

Findings

Models can produce finite-time future singularities (Big Rip).

Models can avoid future singularities (Little Rip).

Demonstrates the versatility of modified GB gravity in late-time cosmology.

Abstract

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).