Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spinning straight cosmic strings with flat exterior solutions
  generically violate the weak energy condition   Any interior solution for a cylindrically symmetric, stationary cosmic string
with flat exterior, spinning around its longitudinal axis, and without internal
longitudinal currents ($g_{zz}=1$, $g_{tz}=0$), must somewhere violate the weak
energy condition of standard general relativity. Existing interior solutions
may be readily fixed by adding mass to the string above that generating its
angular deficit, but at the cost of introducing an exterior gravitational
field.

32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas