Eur. Phys. J. C (2012) 72: 2162
https://doi.org/10.1140/epjc/s10052-012-2162-3

Regular Article - Theoretical Physics

Holographic dark energy in the DGP model

¹ Departamento de Física, Facultad de Ciencia, Universidad de Santiago, Casilla 307, Santiago, Chile
² Instituto de Física, Facultad de Ciencias, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Valparaíso, Chile
³ Departamento de Ciencias Físicas, Facultad de Ingeniería, Ciencias y Administración, Universidad de La Frontera, Avda. Francisco Salazar 01145, Casilla 54-D, Temuco, Chile
⁴ Departamento de Física, DCI, Universidad de Guanajuato, Código Postal 37150, Campus León, León, Guanajuato, Mexico

^* e-mail: norman.cruz@usach.cl

Received: 27 March 2012
Revised: 30 July 2012
Published online: 26 September 2012

Abstract

The braneworld model proposed by Dvali, Gabadadze, and Porrati leads to an accelerated universe without cosmological constant or any other form of dark energy. Nevertheless, we have investigated the consequences of this model when an holographic dark energy is included, taking the Hubble scale as IR cutoff. We have found that the holographic dark energy leads to an accelerated flat universe (de Sitter-like expansion) for the two branches: ϵ=±1, of the DGP model. Nevertheless, in universes with no null curvature the dark energy presents an EoS corresponding to a phantom fluid during the present era and evolving to a de Sitter-like phase for future cosmic time. In the special case in which the holographic parameter c is equal to one we have found a sudden singularity in closed universes. In this case the expansion is decelerating.