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arXiv · 0903.1299

Application of the proximity force approximation to gravitational and Yukawa-type forces

R. S. Decca·E. Fischbach·G. L. Klimchitskaya·D. E. Krause·D. López·V. M. Mostepanenko
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Abstract

We apply the proximity force approximation, which is widely used for the calculation of the Casimir force between bodies with nonplanar boundary surfaces, to gravitational and Yukawa-type interactions. It is shown that for the gravitational force in a sphere-plate configuration the general formulation of the proximity force approximation is well applicable. For a Yukawa-type interaction we demonstrate the validity of both the general formulation of the proximity force approximation, and a simple mapping between the sphere-plate and plate-plate configurations. The claims to the contrary in some recent literature are thus incorrect. Our results justify the constraints on the parameters of non-Newtonian gravity previously obtained from the indirect dynamic measurements of the Casimir pressure.

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R. S. Decca, E. Fischbach, G. L. Klimchitskaya, D. E. Krause, D. López, V. M. Mostepanenko. 2009-03-06. Application of the proximity force approximation to gravitational and Yukawa-type forces. https://doi.org/10.1103/physrevd.79.124021

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