Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: f(G) Noether cosmology   We develop the $n$-dimensional cosmology for $f(\mathcal{G})$ gravity, where
$\mathcal{G}$ is the \emph{Gauss-Bonnet} topological invariant. Specifically,
by the so-called Noether Symmetry Approach, we select $f(\mathcal{G})\simeq
\mathcal{G}^k$ power-law models where $k$ is a real number. In particular, the
case $k = 1/2$ for $n=4$ results equivalent to General Relativity showing that
we do not need to impose the action $R+f(\mathcal{G})$ to reproduce the
Einstein theory. As a further result, de Sitter solutions are recovered in the
case where $f(\mathcal{G})$ is non-minimally coupled to a scalar field. This
means that issues like inflation and dark energy can be addressed in this
framework. Finally, we develop the Hamiltonian formalism for the related
minisuperspace and discuss the quantum cosmology for this model.

18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga