标题： Kerr-de Sitter时空中的光学参考几何与惯性力 显示英文标题

标题： Optical reference geometry and inertial forces in Kerr-de Sitter spacetimes

摘要： 光学参考几何及相关惯性力的概念在Kerr-de Sitter时空中被研究。 惯性力的性质被总结，并且其典型行为被展示。 在测试粒子的圆周运动、静态平衡位置和完美流体环状结构的情况下，展示了这些力在相对论动力学中的直观“牛顿”应用。 通过其赤道平面的嵌入图展示了光学几何的特征。 嵌入图并未涵盖时空的所有静止区域，因此建立了可嵌入性的限制。 嵌入图的形状与离心力的行为相关，并由图中的拐点数量来表征。 还讨论了可嵌入的光子圆轨道的数量，并构建了典型的嵌入图。 根据惯性力和嵌入图的特性对Kerr-de Sitter时空进行了分类。 显示英文摘要

摘要： Optical reference geometry and related concept of inertial forces are investigated in Kerr-de Sitter spacetimes. Properties of the inertial forces are summarized and their typical behaviour is illustrated. The intuitive 'Newtonian' application of the forces in the relativistic dynamics is demonstrated in the case of the test particle circular motion, static equilibrium positions and perfect fluid toroidal configurations. Features of the optical geometry are illustrated by the embedding diagrams of its equatorial plane. The embedding diagrams do not cover whole the stationary regions of the spacetimes, therefore the limits of embeddability are established. A shape of the embedding diagrams is related to the behaviour of the centrifugal force and it is characterized by the number of turning points of the diagrams. Discussion of the number of embeddable photon circular orbits is also included and the typical embedding diagrams are constructed. The Kerr-de Sitter spacetimes are classified according to the properties of the inertial forces and embedding diagrams.