Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expanding Universe and its manifestations beyond the General Relativity   It has been demonstrated that a modern stage of the Universe expansion may be
described in accordance with the observations within the scope of the
space-time conformal geometry. The clock synchronization procedure in SR has
been generalized to the case of the expanding space. It has been found that a
universal local manifestation of the cosmological expansion is a background
acceleration, the value of which is determined by Hubble constant. The formulae
defining an explicit red-shift dependence of the cosmological distance and
expressions for Hubble law have been obtained in a pure kinematic way from the
conformal group transformation, providing a quantitative representation of the
Pioneer anomaly and of the effect associated with the experimentally revealed
Metagalaxy transition to its accelerated expansion

35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph