In this article, we explore the consequences in the calculation of deflection angle of photons, caused by a gravitational source of mass M, for the case of an energy dependent metric. We analyze the corrections to the standard Schwarzschild case for the weak and strong limits. In both cases, the corrections to the deflection angle are of the order ∈/E _(Pl), where E _(Pl) is the Planck energy and ∈, the energy of the photon at spatial infinite. The corrections to the angular separation image is also of order ∈/E _(Pl), for the weak limit, while in the strong case there is a corrective term with the shape ∈/E _(Pl) n e ~~(2nπ) for the relativistic image of order n. The amplification of the image is also discussed. Even if corrections are tiny, in both limits, we discuss the qualitative effects for different types of Lorentz invariance deformations.
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机译：在本文中，我们探讨了在计算能量依赖于度量的情况下，由质量M的引力源引起的光子偏转角的计算结果。我们针对弱和强限制对标准Schwarzschild案例的校正进行分析。在这两种情况下，偏转角的校正量级为ε/ E _（Pl），其中E _（Pl）是普朗克能量，而ε是空间无限大的光子能量。对角分离图像的校正对于弱极限也为ε/ E _（Pl）阶，而在强情况下，存在形状为ε/ E _（Pl）ne ~~（2nπ）的校正项。对于阶n的相对论图像。还讨论了图像的放大。即使校正很小，在这两个范围内，我们也会讨论不同类型的洛伦兹不变性变形的定性影响。
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