How can rainbow gravity affect on gravitational force?

Abstract

According to Verlinde's recent proposal, the gravity is originally an entropic force. In this work, we obtain the corrections to the entropy-area law of black holes within rainbow gravity. The corrected entropy-area law leads to the modifications of the number of bits $N$. Inspired by Verlinde's argument on the entropic force, and using the modified number of bits, we can investigate the effects of rainbow gravity on the modified Newtonian dynamics, Newton's law of gravitation, and Einstein's general relativity in entropic force approach.

References in corpus (13)

• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Friedmann Equations from Entropic Force
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Entropic Corrections to Friedmann Equations
• Modified dispersion relations in extra dimensions
• Entropic Corrections to Einstein Equations
• Higher order corrections to the Newtonian potential in the Randall-Sundrum model
• Modified dispersion relations and (A)dS Schwarzschild Black holes
• Brane world corrections to Newton's law
• The holographic screen at low temperatures
• Influence on the entropic force by the virtual degree of freedom on the holographic screen
• Planck-Scale Corrections to Friedmann Equation

Cited by in corpus (4)

• Thermal analysis of photon-like particles in rainbow gravity
• Thermodynamics of Schwarzschild black hole surrounded by quintessence in gravity's rainbow
• Rainbow gravity corrections to the entropic force
• The thermodynamics and phase transition of a rainbow black hole