New holographic scalar field models of dark energy in non-flat universe

TL;DR

This paper extends holographic dark energy models to non-flat universes, reconstructing scalar field models like quintessence and tachyon to explain cosmic acceleration.

Contribution

It generalizes previous flat universe models to non-flat geometries and reconstructs scalar field potentials and dynamics for dark energy.

Findings

Reconstruction of scalar field potentials in non-flat universe

Correspondence established between holographic dark energy and scalar fields

Results reduce to known flat universe models when curvature is zero

Abstract

Motivated by the work of Granda and Oliveros [L.N. Granda, A. Oliveros, Phys. Lett. B {\bf 671}, 199 (2009)], we generalize their work to the non-flat case. We study the correspondence between the quintessence, tachyon, K-essence and dilaton scalar field models with the new holographic dark energy model in the non-flat FRW universe. We reconstruct the potentials and the dynamics for these scalar field models, which describe accelerated expansion of the universe. In the limiting case of a flat universe, i.e. $k = 0$, all results given in [L.N. Granda, A. Oliveros, Phys. Lett. B {\bf 671}, 199 (2009)] are obtained.