Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamiltonian Approach to Conformal Coupling Scalar Field in the General
  Relativity   The dynamic status of scalar fields is studied in the Hamiltonian approach to
the General Relativity. We show that the conformal coupling of the scalar field
violates the standard geometrical structure of the Einstein equations in GR and
their solutions including the Schwarzschild one and the Newton static
interaction. In order to restore the standard geometrical structure of GR, the
scalar field is mixed with the scale metric component by the Bekenstein type
transformation. This "scalar-scale" mixing converts the conformal coupling
scalar field with conformal weight (n= -1) into the minimal coupling scalar
field with zero conformal weight (n=0) called a "scalar graviton". Cosmological
consequences of the "scalar-scale" mixing are considered in the finite
space-time by extraction of the zero mode (homogeneous) harmonics of a "scalar
graviton". The classical dynamics of "scalar graviton" testifies about a
tremendous contribution of evolution at the beginning in the form of the rigid
state.

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The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con