# Quantum attractors of generalized Gauss-Bonnet dark energy

## TL;DR

This paper investigates how quantum effects, modeled via conformal anomaly, significantly alter the phase-space attractors in generalized Gauss-Bonnet dark energy models, emphasizing the importance of quantum corrections in cosmological dynamics.

## Contribution

It demonstrates that quantum effects fundamentally change the attractor structure and stability in F(R,G) gravity models, highlighting their non-negligible impact on cosmological phase-space analysis.

## Key findings

- Quantum effects modify attractor locations and stability.
- Quantum effects can induce large variations due to singular perturbations.
- Perfect barotropic fluids do not alter quantum effects in the models.

## Abstract

The influences of quantum effects on the structure of the phase-space of generalized Gauss-Bonnet theory, introduced by the Lagrangian F(R,G), have been studied. G is the Gauss-Bonnet invariant, and the quantum effects are described via the account of conformal anomaly. It has been shown that the quantum effects change many aspects of the attractors of F(R,G) gravity models in the R-H plane, including the location of the attractors, the number of them and their stability properties. These variations are not, in general, from the type of small perturbations, but instead, it can induce the great, so not ignorable, variations which have root in the "singular perturbation" nature of this effect. In other words, one can not ignore the quantum corrections and must be always considered. The influences of the perfect barotropic fluids on this problem have been studied, and it has been shown that this kind of matters do not alter the quantum effects. It has been shown that the classical contribution of the coupled-quintessence model, which is responsible for inducing the quantum effects, is of this type, that is a perfect barotropic fluid, and therefore can not change our results.