We discuss gravitational lensing in the Kehagias-Sfetsos space-time emerging in the framework of Hořava-Lifshitz gravity. In weak lensing, we show that there are three regimes, depending on the value of λ̄=1/ωd2, where ω is the Hořava-Lifshitz parameter and d characterizes the lensing geometry. When λ̄ is close to zero, light deflection typically produces two images, as in Schwarzschild lensing. For very large λ̄, the space-time approaches flatness, therefore there is only one undeflected image. In the intermediate range of λ̄, only the upper focused image is produced due to the existence of a maximal deflection angle δmax, a feature inexistent in the Schwarzschild weak lensing. We also discuss the location of Einstein rings, and determine the range of the Hořava-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.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - Oct 12 2011|
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)