Modified gravity emerging from thermodynamics and holographic principle

Details Modified gravity emerging from thermodynamics and holographic principle Modified gravity emerging from thermodynamics and holographic principle

2010-01-26

arxiv.org/abs/1001.4677v2

International Journal of Modern Physics D,Vol.20, No. 8(2011), 1505-1519

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures

Scientific paper

10.1142/S0218271811019682

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.

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