Gravitational theory, galaxy rotation curves and cosmology without dark matter
Gravitational theory, galaxy rotation curves and cosmology without dark matter
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DOI：
10.1088/1475-7516/2005/05/003
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发表时间：
2004-12
影响因子：
6.4
通讯作者：
John W. Moffat
中科院分区：
文献类型：
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作者：
John W. Moffat
爱因斯坦引力与一个巨大的偏对称场Fμνλ耦合，导致了一个加速度定律，它修改了牛顿粒子之间的吸引力定律。我们使用非微扰重整化群方程框架以及观测输入来表征特殊重整化群轨迹，以允许有效引力耦合G的运行和斜场与物质的耦合。强重整化效应发生在大动量和小动量尺度上。后者导致牛顿常数在大星系和宇宙距离上的增加。对于弱场，用星系的质量（质量光比M/L）来拟合星系的平坦旋转曲线。拟合假设星系不受外来暗物质的支配，有效引力常数G随距离尺度而变化。测试粒子的运动方程对太阳系和双星脉冲星PSR 1913+16的预测与观测结果一致。星系团的引力透镜效应可以在没有外来暗物质的情况下解释。具有有效G = G(t)随时间运行的friedman - lemaitre - robertson - walker宇宙学模型可以在不假设存在外来冷暗物质的情况下导致宇宙学数据的一致拟合。
Einstein gravity coupled to a massive skew symmetric field Fμνλ leads to an acceleration law that modifies the Newtonian law of attraction between particles. We use a framework of non-perturbative renormalization group equations as well as observational input to characterize special renormalization group trajectories to allow for the running of the effective gravitational coupling G and the coupling of the skew field to matter. Strong renormalization effects occur at large and small momentum scales. The latter lead to an increase of Newton’s constant at large galactic and cosmological distances. For weak fields a fit to the flat rotation curves of galaxies is obtained in terms of the mass (mass-to-light ratio M/L) of galaxies. The fits assume that the galaxies are not dominated by exotic dark matter and that the effective gravitational constant G runs with the distance scale. The equations of motion for test particles yield predictions for the solar system and the binary pulsar PSR 1913+16 that agree with the observations. The gravitational lensing of clusters of galaxies can be explained without exotic dark matter. A Friedmann–Lemaitre–Robertson–Walker cosmological model with an effective G = G(t) running with time can lead to consistent fits to cosmological data without assuming the existence of exotic cold dark matter.