%0 Journal Article %T On the equation of state of Dark Energy %+ Laboratoire de Physique Théorique et Astroparticules (LPTA) %A Polarski, D. %A Ranquet, A. %< avec comité de lecture %@ 0370-2693 %J Physics Letters B %I Elsevier %V 627 %P 1-8 %8 2005 %D 2005 %Z astro-ph/0507290 %R 10.1016/j.physletb.2005.09.008 %Z 04.62.+v; 98.80.Cq %Z Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO] %Z Sciences of the Universe [physics]/Astrophysics [astro-ph]Journal articles %X 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 $w\approx -1$. %G English %L in2p3-00025048 %U https://hal.in2p3.fr/in2p3-00025048 %~ IN2P3 %~ LPTA %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2