Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Using Noether symmetries to specify f(R) gravity   A detailed study of the modified gravity, f(R) models is performed, using
that the Noether point symmetries of these models are geometric symmetries of
the mini superspace of the theory. It is shown that the requirement that the
field equations admit Noether point symmetries selects definite models in a
self-consistent way. As an application in Cosmology we consider the Friedman
-Robertson-Walker spacetime and show that the only cosmological model which is
integrable via Noether point symmetries is the $(R^{b}-2\Lambda) ^{c}$ model,
which generalizes the Lambda Cosmology. Furthermore using the corresponding
Noether integrals we compute the analytic form of the main cosmological
functions.

1
The categories of this paper are: cs
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org