Dynamics of holographic dark energy with apparent-horizon cutoff and non-minimal derivative coupling gravity in non-flat FLRW universe

Understand

Background cosmological dynamics for a universe with matter, a scalar field non-minimally derivative coupling to Einstein tensor under power-law potential and holographic vacuum energy is considered here.

• The holographic IR cutoff scale is apparent horizon which, for accelerating universe, forms a trapped null surface in the same spirit as blackhole's event horizon.
• For non-flat case, effective gravitational constant cannot be expressed in the Friedmann equation.
• Therefore holographic vacuum density is defined with standard gravitational constant instead of the effective one.