Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Varying Gravitational Constant as Well as Cosmology from the Early
  Inflation to Late Acceleration and Future Universe   Here, cosmology is obtained from the variable gravitational constant $ G
\propto \phi^{-2}$ with $ \phi(x) $ being a scalar and its fluctuations around
the ground state. The gravitational action contains Einstein-Hilbert like term
with variable $ G $, kinetic energy and self-interaction potential for $
\phi(x) $. Two phase transitions take place in this model. The first one takes
place at the GUT (grand unified theory) scale $ \sim 2.45 \times 10^{14}{\rm
GeV} $, when the early universe exits the inflationay phase and the second one
at the electro-weak scale. Spontaneous symmetry breaking takes place around
this scale As a consequence, variable $ G $ acquires constant value $G_N$ (the
Newtonian gravitational constant).The standard model of cosmology is obtained
in the post-second phase transition era. Interestingly, the dark matter and
quintessence dark energy are created from the gravitational sector as a
combined effect of the linear term of scalar curvature and $ \phi(x) $ without
using non-linear terms of curvature or any other matter fields. It is
interesting to find that fluctuations in $ \phi(x) $ cause the phantom dark
energy after the second phase transition, which grows later in the expanding
universe. It is also found that the phantom era is free from big-rip
singularity.

2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org