包含relativistic mass的星系自转曲线及其与开普勒速度曲线的比较
Galaxy rotation curves incorporating relativistic mass and comparison with Keplerian velocity curves
摘要：
本文利用狭义相对论中的质量公式对质量密度进行了修正，导出了轴对称星系的速度分布公式。我们采取一些合理的测试质量密度和数值计算得到的星系旋转曲线。然后，我们将这些旋转曲线从一个类似的公式没有相对论修正因子。我们发现，校正因子有一个小的暗物质一样的效果。最后，我们比较这些相应的开普勒速度曲线。我们发现，在这种情况下，有一个很大的差异，在远离银河系中心，到银河系边缘，使用我们的公式计算的曲线给出了一个明显较高的速度。
英文摘要：
We derive a formula for the velocity distribution of an axially symmetric galaxy where the mass density is corrected using the mass formula from special relativity. We take some reasonable test mass densities and numerically compute the resulting galaxy rotation curves. We then compare these to the rotation curves obtained from a similar formula without a relativistic correction factor. We find that the correction factor has a small dark-matter like effect. Finally, we compare these to the corresponding Keplerian velocity curves. We find that there is a large discrepancy in this case, where away from the galactic center, up to the galactic edge, the curves computed using our formulas give a noticeably higher velocity.
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