We investigate the new agegraphic dark energy scenario in a universe governed by Hořava-Lifshitz gravity .
We consider both the detailed and non-detailed balanced version of the theory , we impose an arbitrary curvature , and we allow for an interaction between the matter and dark energy sectors .
Extracting the differential equation for the evolution of the dark energy density parameter and performing an expansion of the dark energy equation-of-state parameter , we calculate its present and its low-redshift value as functions of the dark energy and curvature density parameters at present , of the Hořava-Lifshitz running parameter \lambda , of the new agegraphic dark energy parameter n , and of the interaction coupling b .
We find that w _ { 0 } = -0.82 ^ { +0.08 } _ { -0.08 } and w _ { 1 } = 0.08 ^ { +0.09 } _ { -0.07 } .
Although this analysis indicates that the scenario can be compatible with observations , it does not enlighten the discussion about the possible conceptual and theoretical problems of Hořava-Lifshitz gravity .