Modified gravity emerging from thermodynamics and holographic principle

Abstract

A new conception is proposed in Ref.\cite{Verlinde:2010hp,Padmanabhan:2009kr} that gravity is one kind of entropic force. In this letter, we try to discuss its applications to the modified gravities by using three different corrections to the area law of entropy which are derived from the quantum effects and extra dimensions. According to the assumption of holographic principle, the number of bits $N$ which is related to the equipartition law of energy is modified. Then, the modified law of Newton's gravity and the modified Friedmann equations are obtained by using the new notion. By choosing suitable parameters, the modified area law of entropy leads to de-Sitter solutions which can be used to explain the accelerating expansion of our universe. It suggests that the accelerating phase in our universe may be an emergent phenomenon based on holographic principle and thermodynamics.

15 pages, no figures

References in corpus (9)

• Disappearing cosmological constant in f(R) gravity
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• Hawking Radiation of Apparent Horizon in a FRW Universe
• Friedmann Equations from Entropic Force
• Quantum UV/IR Relations and Holographic Dark Energy from Entropic Force
• Modified Entropic Force
• Black hole entropy in modified gravity models
• Cosmological Constraints on the Modified Entropic Force Model

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• Misner-Sharp Mass in $N$-dimensional $f(R)$ Gravity
• Modified Newton's Law of Gravitation Due to Minimal Length in Quantum Gravity
• Deformed Horava-Lifshitz Cosmology and Stability of Einstein Static Universe
• Holographic Dark Energy and Quantum Entanglement
• On solutions of loop quantum cosmology
• Horava-Lifshitz cosmology, entropic interpretation and quark-hadron phase transition
• Gravity as Quantum Entanglement Force
• Thermodynamics and holography of tachyon cosmology
• Generalized Semi-Holographic Universe
• Entropic force law in the presence of a noncommutative inspired spacetime for a solar system scale