In this paper, we study the geodesic motion in the spacetime of a SU(2)-colored (A)dS black hole in conformal gravity, and also we investigate spacetime features, such as light spheres and horizons. Moreover, we derive the analytical solutions for the equation of motion of test particles and light rays using Weierstrass elliptic and Kleinian \(\sigma \) functions. Depending on the particle energy levels and angular momentums, we classify the solutions of the geodesic equations. Furthermore, several examples of possible types of orbits illustrate the results.

中文翻译：

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SU（2）-彩色（A）dS黑洞在共形引力的时空中的测地运动

在本文中，我们研究了SU（2）色（A）dS黑洞在共形引力下的时空中的测地运动，并研究了时空特征，例如光球和视界。此外，我们使用Weierstrass椭圆函数和Kleinian \（\ sigma \）函数推导了测试粒子和光线运动方程的解析解。根据粒子的能级和角动量，我们对测地线方程的解进行分类。此外，几种可能的轨道类型示例说明了结果。