Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The method of the kernel of the evolution equation in the theory of
  gravity   The method of covariant perturbation theory allowed for the computation of
the kernel of the evolution equation on a spin Riemannian manifold. The
proposed axiomatic definition of the covariant effective action introduces the
universal scale parameter, with the length square dimensionality, into a
dimensionless mathematical theory. It is shown that this geometrical result has
a physical meaning of the action of field theory, including gravity. Two lowest
tensor order terms of this functional are independent of a spin group and
local. They reproduce the action of general relativity with the cosmological
constant. The current value of the universal scale can be determined with the
measured Hubble constant. This scale parameter considered as a physical
variable can let us build cosmological theories axiomatically.

4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th