Abstract

We study the motion of a celestial body under the simultaneous effect of the Newtonian and cosmological fields. The resulting effect is not only interesting by itself, but it could also give a contribution to solving the well-known problem of galactic rotation curves without the assumption of the existence of dark matter. We assume that in the outer regions of galaxies the stars and the hydrogen clouds follow not only the geodesics of the central field, but also the Hubble flow. By a simple application of the classical kinematics of relative motions, we analyze the effects of the composition of these two motions, and we find an increase of the rotation speed with respect to the galactic center that could be the cause of the non-Newtonian behavior of the rotation curves.

中文翻译：

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牛顿引力场与宇宙膨胀之间相互作用的影响

摘要

我们研究在牛顿和宇宙学领域同时作用下的天体运动。由此产生的效果不仅本身很有趣，而且还可以为解决众所周知的星系自转曲线问题做出贡献，而无需假设暗物质的存在。我们假设在星系的外围区域，恒星和氢云不仅遵循中心场的测地线，而且遵循哈勃流。通过简单应用相对运动的经典运动学，我们分析了这两个运动的组成的影响，并且发现相对于银河系中心的旋转速度增加，这可能是非牛顿行为的原因。旋转曲线。