The Friedmann equation in modified entropy-area relation from entropy force

Abstract

According to the formal holographic principle, a modification to the assumption of holographic principle in Verlinder's investigation of entropy force is obtained. A more precise relation between entropy and area in the holographic system is proposed. With the entropy corrections to the area-relation, we derivate Newton's laws and Einstein equation with a static spherically symmetric holographic screen. Furthermore we derived the correction terms to the modified Friedmann equation of the FRW universe starting from the holographic principle and the Debye model.

Mod. Phys. Lett. A26, 489-500 (2011)

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• Quantized Black Hole and Heun function
• Entropic Gravity and Cosmology in Kaniadakis Statistics
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