Weak Gravity Conjecture and Holographic Dark Energy Model with Interaction and Spatial Curvature

TL;DR

This paper examines how the weak gravity conjecture constrains various holographic dark energy models, especially considering spatial curvature and interaction terms, identifying conditions under which the conjecture is satisfied.

Contribution

It applies the weak gravity conjecture to different holographic dark energy models, highlighting the importance of spatial curvature and interaction terms for consistency.

Findings

Weak gravity conjecture satisfied in models with spatial curvature and matter interaction.

Interaction term proportional to matter energy density is crucial for the conjecture.

Flat universe models without interaction do not satisfy the conjecture.

Abstract

In the paper, we apply the weak gravity conjecture to the holographic quintessence model of dark energy. Three different holographic dark energy models are considered: without the interaction in the non-flat universe; with interaction in the flat universe; with interaction in the non-flat universe. We find that only in the models with the spatial curvature and interaction term proportional to the energy density of matter, it is possible for the weak gravity conjecture to be satisfied.