Scalar-Field Reconstruction of Ricci--Gauss--Bonnet Dark Energy in Ho\v{r}ava--Lifshitz Cosmology

TL;DR

This paper develops a Ricci-Gauss-Bonnet dark energy model within Hořava-Lifshitz cosmology, deriving analytical expressions, analyzing stability, and confirming thermodynamic consistency for late-time cosmic acceleration.

Contribution

It presents a scalar-field reconstruction of the dark energy sector in Hořava-Lifshitz cosmology, including stability analysis and thermodynamic validation.

Findings

Reconstructed scalar field potential exhibits smooth transition to cosmological constant at late times.

Identified stable parameter regions through squared sound speed analysis.

Confirmed non-negative entropy variation, supporting thermodynamic consistency.

Abstract

This paper reports a Ricci-Gauss-Bonnet (RGB) dark energy model within the framework of Ho\v{r}ava-Lifshitz cosmology and presents a scalar-field reconstruction of the effective dark energy sector. In a spatially flat FRW background with a power-law scale factor, we derive analytical expressions for cosmological parameters, scalar field kinetic term, and the reconstructed potential. The reconstructed EoS parameter exhibits smooth transition toward a cosmological-constant-like regime at late times for suitable choices of the model parameters. The classical stability of the model is analyzed through the squared sound speed, and stable regions of the parameter space are identified. Finally, the generalized second law of thermodynamics is investigated at the apparent horizon, and it is shown that the total entropy variation remains non-negative in this model. From these results it can be concluded that the model provides a theoretically consistent description of late-time acceleration, with physical viability maintained within a specific range of the model parameters.