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In this paper we seek static spherically symmetric solutions ofHorava-Lifshitz-like gravity with projectability condition. We consider themost general form of gravity action without detailed balance, and require thespacetime metric to respect the projectability condition. We find that for anyvalue of $\lambda$, it may exists the solutions of topology $R\times M_3$,where $R$ is the time direction and $M_3$ is a three-dimensional maximallysymmetric space depending on the value of cosmological constant and thepotential of the action. Besides, in the UV region where $\lambda\neq 1$, wefind Minkowski or de-Sitter space-time as the solution, while in the IR regionwhere $\lambda=1$, we prove that (dS-)Schwarzschild solution is the onlynontrivial solution.  We also notice that the other static spherically symmetric solutions found inthe literature do not satisfy the projectability condition and are not thesolutions we get. Our study shows that in Horava-Lifshitz gravity withprojectability condition, there is no novel correction to Einstein's generalrelativity in solar system tests.

Static Spherically Symmetric Solutions to modified Horava-Lifshitz Gravity with Projectability Condition