Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Axially symmetric static sources: A general framework and some
  analytical solutions   We provide all basic equations and concepts required to carry out a general
study on axially symmetric static sources. The Einstein equations and the
conservation equations are written down for a general anisotropic static fluid
endowed with axial symmetry. The structure scalars are calculated and the
inhomogeneity factors are identified. Finally some exact analytical solutions
were found. One of these solutions describes an incompressible spheroid with
isotropic pressure and becomes the well known interior Schwarzschild solution
in the spherically symmetric limit, however it cannot be matched smoothly to
any Weyl exterior metric. Another family of solutions was found that
corresponds to an anisotropic fluid distribution and can in principle be
matched to a Weyl exterior.

35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio