Constraining Hořava-Lifshitz gravity by weak and strong gravitational lensing

Abstract

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 $\bar{\lambda }=1/\omega d^2$, where $\omega$ is the Hořava-Lifshitz parameter and $d$ characterizes the lensing geometry. When $\bar{\lambda }$ is close to zero, light deflection typically produces two images, as in Schwarzschild lensing. For very large $\bar{\lambda }$ the space-time approaches flatness, therefore there is only one undeflected image. In the intermediate range of $\bar{\lambda }$ 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 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.

11 pages, 6 figures, introductory part and reference list changed on referee request, results expanded. Published version

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• Gravitational lens effect of a holonomy corrected Schwarzschild black hole
• Shadows and photon rings of a spherically accreting Kehagias-Sfetsos black hole
• Solar system tests and interpretation of gauge field and Newtonian prepotential in general covariant Hořava-Lifshitz gravity
• Perfect fluid tori orbiting Kehagias-Sfetsos naked singularities
• Negative Time Delay in Strongly Naked Singularity Lensing
• Neutron Star Structure in Hořava-Lifshitz Gravity
• A new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama gravity and gravitational lensing
• Gravitational lensing by a stable rotating regular black hole
• Hořava's quantum gravity illustrated by embedding diagrams of the Kehagias-Sfetsos spacetimes
• Optical appearance of the Schwarzschild black hole in the string cloud context
• Mass decomposition of SLACS lens galaxies in Weyl conformal gravity
• Self-gravitational Interaction in z = 4 Horava-Lifshitz Gravity
• Weak and strong field approximations and circular orbits of Kehagias-Sfetsos space-time
• Field equations and particle motion in covariant emergent gravity
• Vanishing Compactness Gap and Fermionic Compact Dark Matter in Hořava-Lifshitz Gravity