Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Application of the proximity force approximation to gravitational and
  Yukawa-type forces   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.

32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int