The braneworld model proposed by Dvali , Gabadadze and Porrati ( DGP ) leads to an accelerated universe without cosmological constant or other form of dark energy for the positive branch ( \epsilon = +1 ) .
For the negative branch ( \epsilon = -1 ) we have investigated the behavior of a model with an holographic Ricci-like dark energy and dark matter , where the IR cutoff takes the form \alpha H ^ { 2 } + \beta \dot { H } , being H the Hubble parameter and \alpha , \beta positive constants of the model .
We perform an analytical study of the model in the late-time dark energy dominated epoch , where we obtain a solution for r _ { c } H ( z ) , where r _ { c } is the leakage scale of gravity into the bulk , and conditions for the negative branch on the holographic parameters \alpha and \beta , in order to hold the conditions of weak energy and accelerated universe .
On the other hand , we compare the model versus the late-time cosmological data using the latest type Ia supernova sample of the Joint Light-curve Analysis ( JLA ) , in order to constraint the holographic parameters in the negative branch , as well as r _ { c } H _ { 0 } in the positive branch , where H _ { 0 } is the Hubble constant .
We find that the model has a good fit to the data and that the most likely values for ( r _ { c } H _ { 0 } , \alpha, \beta ) lie in the permitted region found from an analytical solution in a dark energy dominated universe .
We give a justification to use holographic cut-off in 4D for the dark energy in the 5 dimensional DGP model .
Finally , using the Bayesian Information Criterion we find that this model it is disfavored compared with the flat \Lambda CDM model .