The present paper deals with the Mannheim-Kazanas metric which is supposed to offer a reliable explanation on the observed galaxy rotation curves. The effective potential and the geodesic deviations are discussed. For a particular form of the metric, depending only on two parameters, the Gordon equation for massless bosons is satisfied by the Heun general functions. A special attention is given to the physically important local Minkowskian region, which has no analogue in the Schwarzschild case.

中文翻译：

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曼海姆-卡扎纳斯时空无质量玻色子的解

本论文涉及 Mannheim-Kazanas 度量，该度量应该为观测到的星系旋转曲线提供可靠的解释。讨论了有效电位和测地线偏差。对于度量的特定形式，仅取决于两个参数，无质量玻色子的戈登方程由 Heun 通用函数满足。特别关注物理上重要的局部 Minkowski 区域，它在 Schwarzschild 案例中没有类似物。