Abstract

The Newtonian gravity force is massless and decreases as \(1/r^{2}\), too steeply to explain the flat rotation curves of spiral galaxies. Massive gravity, on the other hand, drops as \(1/r\) and is capable of doing the job. Massive fields have a respected record in the history of field theories. We follow the suit and add a ‘‘mass term’’ to the field equation of Newtonian gravity, which, to begin with, is static. Next, we use the observation-based Tully-Fisher relation to determine the nature and characteristics of the added mass term. We are able to produce the rotation curves flat enough to justify the observational data up to several optical radii of the galaxies, where observations are both abundant and reliable. At very far distances, however, massive gravity goes through a sequence of intermittently attractive and repulsive phases. This is a welcome novelty. It may enable one to address the wavy fluctuations and patchy voids that are not uncommon in the archives of observed rotation curves. With a stretch of imagination, massive gravity may find an observational support in the Oort clouds, a stipulated spherical shell of debris at farthest outreaches of the Solar system.

中文翻译：

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重力作为替代重力

摘要

牛顿重力是无质量的，并且随着\（1 / r ^ {2} \）减小而变得太陡，无法解释螺旋星系的平坦旋转曲线。另一方面，重力下降为\（1 / r \）并且能够胜任这项工作。大型领域在领域理论的历史上享有很高的声誉。我们遵循该方法，在牛顿重力场方程中添加一个“质量项”，该方程首先是静态的。接下来，我们使用基于观测的Tully-Fisher关系来确定附加质量项的性质和特征。我们能够产生足够平坦的旋转曲线，以证明观测数据在银河系的几个光学半径范围内都是合理的，在这些半径范围内观测既丰富又可靠。然而，在很远的距离上，巨大的重力经历了一系列间歇性的吸引和排斥阶段。这是令人欢迎的新颖性。它可以使人们解决在观察到的旋转曲线档案中不常见的波浪起伏和不规则的空隙。充满想象力