The high pericenter velocities (up to a few percent of light) of the S stars around the Galactic-center black hole suggest that general relativistic effects may be detectable through the time variation of the redshift during pericenter passage. Previous work has computed post-Newtonian perturbations to the stellar orbits. We study the additional redshift effects due to perturbations of the light path (what one may call "post-Minkowskian" effects), a calculation that can be elegantly formulated as a boundary-value problem. The post-Newtonian and post-Minkowskian redshift effects are comparable: both are and amount to a few?km?s–1 at pericenter for the star S2. On the other hand, the post-Minkowskian redshift contribution of spin is and much smaller than the post-Newtonian effect, which would be ~0.1 km s–1 for S2.
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机译：银河系中心黑洞周围的S星的高中心点速度（高达百分之几的光）表明，通过近心点通过期间红移的时间变化，可以发现一般的相对论效应。先前的工作已计算出牛顿后对恒星轨道的扰动。我们研究了由于光路的扰动而引起的其他红移效应（可以称其为“后Minkowskian”效应），该计算可以优雅地表述为边值问题。后牛顿和后金科夫斯基的红移效应是可比较的：恒星S2的中心点都在并且都等于几千米·s-1。另一方面，自旋转的Minkowskian后红移贡献远小于后牛顿效应，后者对S2约为0.1 km s-1。
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