We study holographic superconductors in a Hov{r}ava-Lifshitz 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. We also find that the ratio of the gap frequency in conductivity to the critical temperature, $omega_{g}/T_c$, almost linear decreases with the increase of the balance constant. For $epsilon= 0$ the ratio reduces to Cais result $omega_g/T_capprox 13$ found in the Hov{r}ava-Lifshitz black hole with the condition of the detailed balance, while as $epsilon rightarrow 1$ it tends to Horowitz-Roberts relation $omega_g/T_capprox 8$ obtained in the AdS Schwarzschild black hole. Our result provides a bridge between the results for the Hv{o}rava-Lifshitz theory with the condition of the detailed balance and Einsteins gravity.
We study holographic superconductors in the Schwarzschild-AdS black hole with a global monopole through a charged complex scalar field. We calculate the condensates of the charged operators in the dual conformal field theories (CFTs) and discuss the
effects of the global monopole on the condensation formation. Moreover, we compute the electric conductive using the probe approximation and find that the properties of the conductive are quite similar to those in the Schwarzschild-AdS black hole. These results can help us know more about holographic superconductors in the asymptotic AdS black holes.
