Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards Canonical Quantum Gravity for Geometries Admitting Maximally
  Symmetric Two-dimensional Surfaces   The 3+1 (canonical) decomposition of all geometries admitting two-dimensional
space-like surfaces is exhibited. A proposal consisting of a specific
re-normalization {\bf Assumption} and an accompanying {\bf Requirement} is put
forward, which enables the canonical quantization of these geometries. The
resulting Wheeler-deWitt equation is based on a re-normalized manifold
parameterized by three smooth scalar functionals. The entire space of solutions
to this equation is analytically given, exploiting the freedom left by the
imposition of the {\bf Requirement} and contained in the third functional.

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The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat