We study condensation for non-relativistic matter in a Horava-Lifshitz black hole without the condition of the detailed balance. We show that, for the fixed non-relativistic parameter alpha(2)(or the detailed balance parameter is an element of), it is easier for the scalar hair to form as the parameter is an element of (or alpha(2)) becomes larger, but the condensation is not affected by the non-relativistic parameter alpha(2). We also find that the ratio of the gap frequency in conductivity to the critical temperature decreases with the increase of is an element of and alpha(2), but increases with the increase of alpha(2). The ratio can reduce to the Horowitz-Roberts relation omega(g)/T-c approximate to 8 obtained in the Einstein gravity and Cai's result omega(g)/T-c approximate to 8 found in a Horava-Lifshitz gravity with the condition of the detailed balance for the relativistic matter. Especially, we note that the ratio can arrive at the value of the BCS theory omega(g)/T-c approximate to 3.5 by taking proper values of the parameters. (C) 2015 The Authors. Published by Elsevier B.V.
National Natural Science Foundation of China [11475061, 11275065, 11275066]
; SRFDP 
; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF161CJ1]