Rainbow gravity corrections to the entropic force

Abstract

The entropic force attracts a lot of interest for its multifunctional properties. For instance, Einstein's field equation, Newton's law of gravitation and the Friedmann equation can be derived from the entropic force. In this paper, utilizing a new kind of rainbow gravity model that was proposed by Magueijo and Smolin, we explore the quantum gravity corrections to the entropic force. First, we derive the modified thermodynamics of a rainbow black hole via its surface gravity. Then, according to Verlinde's theory, the quantum corrections to the entropic force are obtained. The result shows that the modified entropic force is related not only to the properties of the black hole but also the Planck length ${\ell }_p$, and the rainbow parameter $\gamma$. Furthermore, based on the rainbow gravity corrected entropic force, the modified Einstein's field equation and the modified Friedmann equation are also derived.

10 pages

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Cited by in corpus (10)

• Thermal analysis of photon-like particles in rainbow gravity
• Fractional Holographic Dark Energy
• Modified Friedmann equations from fractional entropy
• Higher-order generalized uncertainty principle applied to gravitational baryogenesis
• Quantum, noncommutative and MOND corrections to the entropic law of gravitation
• The gravitational baryogenesis and a new higher-order extended uncertainty principle with parameter adaptability for the minimum length
• Exponential correction to Friedmann equations
• Friedmann equations from GUP-modified equipartition law
• Implications of maximum acceleration on dynamics
• From MOND entropy to extended uncertainty principles: A unified framework