Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On General Relativity extension   The careful analysis of the duality properties of Riemann's curvature tensor
points to possibility of extension of Einstein's General Relativity to the
nonabelian Yang-Mills theory. The motion equations of the theory are
Yang-Mills' equations for the curvature tensor. Einstein's equations (with
cosmological term to appear as an integration constant) are contained in the
theory proposed. New is that now gravitational field is not exceptionally
determined by matter energy-momentum but can possess its own non-Einsteinian
dynamics(vacuum fluctuations, self-interaction)which is generally an attribute
of nonabelian gauge field. The gravitational equations proper due to either
matter energy-momentum or vacuum fluctuations are side conditions imposed on
the Riemann tensor, like self-duality conditions.

26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio