Gauss-Bonnet dark energy on Hořava-Lifshitz cosmology

Abstract

We investigate the Gauss-Bonnet dark energy model and its deformed version on Hořava-Lifshitz cosmology, which belongs to the class of cosmologies obtained from the so-called projectable version of Hořava-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.

9 pages, 10 figures

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• The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory
• Qualitative description of the universe in the interacting fluids scheme
• The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
• Scalar-Field Reconstruction of Ricci--Gauss--Bonnet Dark Energy in Hořava--Lifshitz Cosmology