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arXiv 1105.0765gr-qcastro-ph.GAhep-th
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弱和强引力透镜对Hoerava-Lifshitz引力的约束

Constraining Hořava-Lifshitz gravity by weak and strong gravitational lensing

Zsolt Horváth, László Á. Gergely, Zoltán Keresztes, Tiberiu Harko, Francisco S. N. Lobo

摘要:

本文讨论了在Hoenava-Lifshitz引力框架下出现的Kehagias-Sfetsos时空中的引力透镜。在弱透镜,我们表明,有三个制度,根据值的$\bar λ=1/ωd^{2}$,其中$ω$是Hoelava-Lifshitz参数和$d$特征的透镜几何。当$\bar λ$接近零时,光偏转通常产生两个图像,如史瓦西透镜。对于非常大的$\bar λ$,时空接近平坦,因此只有一个未偏转的图像。在$\bar λ$的中间范围内,由于最大偏转角$δ_{max}$的存在,仅产生上聚焦像,这是史瓦西弱透镜中不存在的特征。我们还讨论了爱因斯坦环的位置,并确定了与当今的透镜观测兼容的Hoenava-Lifshitz参数的范围。最后,我们分析了在强透镜制度的前两个相对论爱因斯坦环,并确定即将进行的实验的参数范围的约束。

英文摘要:

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 $\bar λ=1/ωd^{2}$, where $ω$ is the Hořava-Lifshitz parameter and $d$ characterizes the lensing geometry. When $\bar λ$ is close to zero, light deflection typically produces two images, as in Schwarzschild lensing. For very large $\bar λ$ the space-time approaches flatness, therefore there is only one undeflected image. In the intermediate range of $\bar λ$ only the upper focused image is produced due to the existence of a maximal deflection angle $δ_{max}$, 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.

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