Abstract
Based on the holographic principle and the Barrow entropy, Barrow holographic dark energy had been proposed. In order to analyze the stability and the evolution of Barrow holographic dark energy, we, in this paper, apply the dynamical analysis and statefinder methods to Barrow holographic dark energy with different IR cutoff and interacting terms. In the case of using Hubble horizon as IR cutoff with the interacting term Q=frac{lambda }{H}rho _{m}rho _{D}, we find this model is stable and can be used to describe the whole evolution of the universe when the energy transfers from the pressureless matter to the Barrow holographic dark energy. When the dynamical analysis method is applied to this stable model, an attractor corresponding to an accelerated expansion epoch exists and this attractor can behave as the cosmological constant. Furthermore, the coincidence problem can be solved in this case. Then, after using the statefinder analysis method to this model, we find this model can be discriminated from the standard Lambda CDM model. Finally, we have discussed the turning point of Hubble diagram in Barrow holographic dark energy and find the turning point does not exist in this model.
Highlights
Λ H ρm ρD, we find this model is stable and can be used to describe the whole evolution of the universe when the energy transfers from the pressureless matter to the Barrow holographic dark energy
Based on the holographic principle and the Barrow entropy, which results from the modification of the black hole surface due to quantum-gravitational effects, a new holographic dark energy (HDE) model named Barrow holographic dark energy (BHDE) has been proposed
We find all of these BHDE models can explain the current accelerated expansion, but only IBHDEHA and IBHDEHL can be stable under some specific conditions in which the coupling constant requires to be negative
Summary
An interesting approach to describe the origin of dark energy is considering the holographic principle [8,9] in the cosmological framework. The stable point is used to describe a late time epoch dominated by the dark energy, the saddle point can denote the matter dominated epoch, and the unstable point corresponds to the early radiation dominated epoch This method was used with great success in analyzing the evolution of the universe within HDE models [63,68,81,82,83,84,85]. Regarding that BHDE may offer an interesting framework to study phenomenology beyond to HDE, the main goal of this paper is to discuss six BHDE models: we first consider BHDE with different IR cutoffs, and two kinds of interaction terms are used.
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