Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General Scalar-Tensor cosmology: Analytical solutions via Noether
  symmetry   We analyze the cosmology of a general Scalar-Tensor theory which encompasses
generalized Brans-Dicke theory, Gauss-Bonnet gravity, non-minimal derivative
gravity, generalized Galileon gravity and also the general k-essence type
models. Instead of taking into account phenomenological considerations we adopt
a Noether symmetry approach, as a physical criterion, to single out the form of
undetermined functions in the action. These specified functions symmetrize
equations of motion in the simplest possible form which result in exact
solutions. Demanding de Sitter, power-law and bouncing universe solutions in
the absence and presence of matter density leads to exploring new as well as
well-investigated models. We show that there are models for which dynamics of
the system allow transition from a decelerating phase (matter dominated era) to
an accelerating phase (dark energy epoch) and could also lead to general
Brans-Dicke with string correction without a self-interaction potential.
Furthermore, we classify the models based on phantom or quintessence dark
energy point of view. Finally, we obtain the condition for stability of a de
Sitter solution for which the solution is an attractor of the system.

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The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con