发表机构
Instituto de Astronomía, Universidad Nacional Autónoma de México; Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México（墨西哥国立自治大学天文学研究所; 墨西哥国立自治大学核科学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种协变修正引力理论，通过幂律作用量精确重建星系旋转曲线和引力透镜观测，并拟合塔利-费舍尔关系至星系团尺度，无需暗物质。
AI 中文摘要
我们提出了一种协变修正引力理论，该理论在低加速度区域重现了通常归因于暗物质的所有星系现象，包括大质量示踪体的平坦旋转曲线，以及通过引力透镜推断的光子偏转角。我们首先在球对称和静态近似下推导了星系时空的完全协变描述。该描述解释了平坦旋转曲线、观测到的引力透镜现象以及上述的塔利-费舍尔质量标度关系。随后，利用得到的协变描述，通过分别对里奇标量和物质拉格朗日量采用幂律形式，来约束一个最小耦合引力作用量的参数。因此，所提出的作用量导出的场方程，在所做近似下，其迹的解为度规系数，这些系数精确重现了平坦旋转曲线、引力透镜观测以及观测确定的任意指数的塔利-费舍尔星系质量标度。后者允许对直到星系团尺度的观测动力学进行精确拟合。
英文摘要
We present a covariant modified gravity theory which reproduces all the galactic phenomenology usually attributed to dark matter in the low acceleration regime, including the flat rotation curves of massive tracers, and the deflection angles of photons as inferred through gravitational lensing. We first derive a fully covariant description of galactic space-times under a spherically symmetric and static approximation. This description accounts for flat rotation curves, observed gravitational lensing phenomenology and the Tully-Fisher mass scalings of the above. The resulting covariant description is then used to constrain the parameters of a minimally coupled gravitational action using power laws for both the Ricci scalar and the matter Lagrangian. The action presented hence leads to field equations whose trace, under the approximations taken, has as solutions metric coefficients which exactly reproduce flat rotation curves, gravitational lensing observations and observationally determined Tully-Fisher galactic mass scalings of any required index. This last allowing for an accurate fitting of observational dynamics up to galaxy cluster scales.
Comments6 pages
