Constraining Horava-Lifshitz gravity by weak and strong gravitational lensing

We discuss gravitational lensing in the Kehagias-Sfetsos space-time emerging in the framework of Horava-Lifshitz gravity. In weak lensing, we show that there are three regimes, depending on the value of (lambda) over bar = 1/omega d(2), where omega is the Horava-Lifshitz parameter and d characterizes the lensing geometry. When (lambda) over bar is close to zero, light deflection typically produces two images, as in Schwarzschild lensing. For very large (lambda) over bar, the space-time approaches flatness, therefore there is only one undeflected image. In the intermediate range of (lambda) over bar, only the upper focused image is produced due to the existence of a maximal deflection angle delta(max), a feature inexistent in the Schwarzschild weak lensing. We also discuss the location of Einstein rings, and determine the range of the Horava-Lifshitz parameter compatible with present-day lensing observations. Finally, we analyze in the strong lensing regime the first two relativistic Einstein rings and determine the constraints on the parameter range to be imposed by forthcoming experiments.