Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Physical Interpretation of Cylindrically Symmetric Static Gravitational
  Fields   The explicit relationship is determined between the interior properties of a
static cylindrical matter distribution and the metric of the exterior
space-time according to Einstein gravity for space-time dimensionality larger
or equal to four. This is achieved through use of a coordinate system isotropic
in the transverse coordinates. As a corollary, similar results are obtained for
a spherical matter distribution in Brans-Dicke gravity for dimensions larger
than or equal to three. The approach used here leads to consistency conditions
for those parameters characterizing the exterior metric. It is shown that these
conditions are equivalent to the requirement of hydrostatic equilibrium of the
matter distribution (generalized Oppenheimer-Volkoff equations). These
conditions lead to a consistent Newtonian limit where pressures and the
gravitational constant go to zero at the same rate.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph