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Constraining Horava-Lifshitz gravity by weak and strong gravitational lensing

Z. Horvßth, L. ┴. Gergely, Z. Keresztes, T. Harko, F. S. N. Lobo

Abstract
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»=1/omegad2, where omega is the Horava-Lifshitz parameter and d characterizes the lensing geometry. When lambda» is close to zero, light deflection typically produces two images, as in Schwarzschild lensing. For very large lambda», the space-time approaches flatness, therefore there is only one undeflected image. In the intermediate range of lambda», only the upper focused image is produced due to the existence of a maximal deflection angle deltamaxf , 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.

Keywords
Relativity: and: gravitation - Modified: theories: of: gravity - Gravitational: lenses: and: luminous: arcs - Galactic: center: bar: circumnuclear: matter: and: bulge

Physical Review D
Volume 84, Issue 8, Page 083006_1
2011 October

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Instituto de Astrof├şsica e Ci├¬ncias do Espa├žo Universidade do Porto Faculdade de Ciências da Universidade de Lisboa Funda├ž├úo para a Ci├¬ncia e a Tecnologia
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