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arXiv 0908.0781gr-qcastro-ph.CO
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修正重力的观测可验证预报

Observationally Verifiable Predictions of Modified Gravity

J. W. Moffat, V. T. Toth

摘要:

MOG是一个基于作用量原理的完全相对论修正引力理论。MOG场方程在两种重要情况下是精确可解的。在引力质量的球对称静态情况下,方程也有一个近似解,非常类似于Reissner-Nordstrom度规。此外,对于弱引力场,可以得到牛顿加速定律的Yukawa型修正,它可以用来模拟一系列天文观测。在没有非重子暗物质的情况下,MOG提供了与星系旋转曲线、星系团质量和引力透镜数据很好的一致性,同时预测与爱因斯坦在太阳系尺度上的预测没有明显的偏差。场方程的另一种解决方案,获得了一个空间均匀的情况下,各向同性宇宙。MOG在没有引入爱因斯坦的宇宙学常数的情况下预测了一个加速的宇宙;它还预测了一个CMB声功率谱和一个质量功率谱,这与观测结果一致,而不依赖于非重子暗物质。在未来的观测或空间实验中增加的灵敏度可能足以将MOG与其他理论区分开来,特别是LCDM宇宙学的“标准模型“。

英文摘要:

MOG is a fully relativistic modified theory of gravity based on an action principle. The MOG field equations are exactly solvable numerically in two important cases. In the spherically symmetric, static case of a gravitating mass, the equations also admit an approximate solution that closely resembles the Reissner-Nordstrom metric. Furthermore, for weak gravitational fields, a Yukawa-type modification to the Newtonian acceleration law can be obtained, which can be used to model a range of astronomical observations. Without nonbaryonic dark matter, MOG provides good agreement with the data for galaxy rotation curves, galaxy cluster masses, and gravitational lensing, while predicting no appreciable deviation from Einstein's predictions on the scale of the solar system. Another solution of the field equations is obtained for the case of a a spatially homogeneous, isotropic cosmology. MOG predicts an accelerating universe without introducing Einstein's cosmological constant; it also predicts a CMB acoustic power spectrum and a mass power spectrum that are consistent with observations without relying on non-baryonic dark matter. Increased sensitivity in future observations or space-based experiments may be sufficient to distinguish MOG from other theories, notably the LCDM "standard model" of cosmology.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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