Gauss-Bonnet dark energy on Ho\v{r}ava-Lifshitz cosmology

Understand

We investigate the Gauss-Bonnet dark energy model and its deformed version on Ho\v{r}ava-Lifshitz cosmology, which belongs to the class of cosmologies obtained from the so-called projectable version of Ho\v{r}ava-Lifshitz gravity.

• In particular, we investigate the bulk/boundary interaction in this scenario through the $Q$ function, which we interpret as a measure of the energy transference between the bulk and the spacetime boundary.
• Then we discuss whether the thermal equilibrium will be stable or not, once it is reached, and the validity of the generalized second law.
• We show that the $Q$ function can exhibit sign changes along the cosmic evolution and the Universe reaches the thermal equilibrium as a transient phenomenon.