Logarithmic Correction to Newton Potential in Randall-Sundrum Scenario

Abstract

Using a fixed-energy amplitude in Randall-Sundrum single brane scenario, we compute the Newton potential on the brane. It is shown that the correction terms to the Newton potential involve a logarithmic factor. Especially, when the distance between two point masses are very small compared to $AdS$ radius, the contribution of KK spectrum becomes dominant compared to the usual inversely square law. This fact may be used to prove the existence of an extra dimension experimentally.

arXiv comment7 pages, 1 figure

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Cited by in corpus (6)

• Vacuum solutions of the gravitational field equations in the brane world model
• Power-Law Entropic Corrections to Newton's Law and Friedmann Equations
• Solar system tests of brane world models
• Logarithmic corrections to Newtonian gravity and Large Scale Structure
• Newton Law on the Generalized Singular Brane with and without 4d Induced Gravity
• Newton Law in Brane-World Scenario with 4d Induced Gravity: Singular Quantum Mechanical Approach