Holographic Superconductors in z = 3 Hoˇ rava-Lifshitz gravity without condition of detailed balance and We study holographic superconductors in a Hoˇrava-Lifshit z black hole without the condition of the detailed balance. We show that it is easier for the scalar hair to form as the parameter of the detailed balance becomes larger, but harder when the mass of the scalar field larger. Wealso find that the ratio of the gap frequency in conductivity to the critical temperature, ω$_{g}$/ T$_{c}$ , almost linear decreases with the increase of the balance constant. For ϵ = 0 the ratio reduces to Cai’s result ω$_{g}$/ T$_{c}$ ≈ 13 found in the Hoˇrava-Lifshitz black hole with the condition of the detailed balance, while as ϵ → 1 it tends to Horowitz-Roberts relation ω$_{g}$/ T$_{c}$ ≈ 8 obtained in the AdS Schwarzschild black hole. Our result provides a bridge between the results for the Hˇ orava-Lifshitz theory with the condition of the detailed balance and Einstein’s gravity. PACS numbers: 11.25.Tq, 04.70.Bw, 74.20.-z, 97.60.Lf. Keywords: holographic superconductors, black hole, Hoˇra va-Lifshitz gravity 1 ∗ Electronic address: jljing@hunnu.edu.cn arXiv:1001.1472v4 [hep-th] 4 Jun 2010 Abstract Jiliang Jing ∗ , Liancheng Wang, and Songbai Chen Institute of Physics and Department of Physics, Hunan Normal University, Changsha, Hunan 410081, P. R. China Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, Hunan 410081, P. R. China