Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of Constant Mean Curvature Hypersurfaces in Asymptotically
  Flat Spacetimes   The problem of existence of spacelike hypersurfaces with constant mean
curvature in asymptotically flat spacetimes is considered for a class of
asymptotically Schwarzschild spacetimes satisfying an interior condition. Using
a barrier construction, a proof is given of the existence of complete
hypersurfaces with constant mean cuvature which intersect null infinity in a
regular cut.

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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th