论文标题
球形对称的分散关系的可观察物
Observables from spherically symmetric modified dispersion relations
论文作者
论文摘要
在这项工作中，我们继续对经过修改的分散关系产生的可观察效应进行系统的研究。我们研究了经过一般相对论分散关系的一般一阶修改的测试颗粒的运动，并受到球形对称性中$κ$ - poincaré分散关系的约束。我们得出了对光子球体，黑洞阴影，夏皮罗延迟和光偏转的校正，并确定了这些可观察到的光子对光子四动动量的额外依赖性，这会导致可测量的效果，可以比较实验数据。此处介绍的结果可以通过两种方式来解释，具体取决于修改后的分散关系的起源：一方面是对量子重力痕迹的预测，当修饰的分散性关系是由量子重力的现象学方法引起的，另一方面是量子的预测，这是由于培养基的存在，例如，依赖于质量的介质，依靠培养基的存在，以依靠培养基的存在，这会依靠质量依次，以依靠质量依靠。
In this work we continue the systematic study of observable effects emerging from modified dispersion relations. We study the motion of test particles subject to a general first order modification of the general relativistic dispersion relation as well as subject to the $κ$-Poincaré dispersion relation in spherical symmetry. We derive the corrections to the photon sphere, the black hole shadow, the Shapiro delay and the light deflection and identify the additional dependence of these observables on the photons' four momentum, which leads to measurable effects that can be compared to experimental data. The results presented here can be interpreted in two ways, depending on the origin of the modified dispersion relation: on the one hand as prediction for traces of quantum gravity, when the modified dispersion relation is induced by phenomenological approaches to quantum gravity, on the other hand as predictions of observables due to the presence of a medium, like a plasma, which modifies the dispersion relation of light on curved spacetimes.
