Correspondence between Holographic and Gauss-Bonnet dark energy models

Understand

In the present work we investigate the cosmological implications of holographic dark energy density in the Gauss-Bonnet framework.

• By formulating independently the two cosmological scenarios, and by enforcing their simultaneous validity, we show that there is a correspondence between the holographic dark energy scenario in flat universe and the phantom dark energy model in the framework of Gauss-Bonnet theory with a potential.
• This correspondence leads consistently to an accelerating universe.
• However, in general one has not full freedom of constructing independently the two cosmological scenarios.