Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the equation of state of Dark Energy   The formalism in order to obtain the Dark Energy equation of state is
extended to non-flat universes and we consider the inequalities that must be
satisfied by Phantom Dark Energy in this case. We show that due to a
non-vanishing spatial curvature satisfying the observational bounds, the
uncertainty on the determination of the Dark Energy equation of state parameter
$w$, when it is taken constant, can be significant and that it is minimal for
some redshift $z_{cr}\sim 3$. We consider the potential of future measurements
of the gravitational waves emitted by binaries at high redshifts $z>z_{cr}$ to
reduce this uncertainty. Results obtained here should also be relevant for a
weakly varying equation of state with $w\approx -1$.

29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin