作为GR情境性表现的质量缺失问题
The Missing Mass Problem as a Manifestation of GR Contextuality
摘要：
在牛顿引力中，质量是物质的固有属性，而在广义相对论（GR）中，质量是物质的上下文属性，即，当物质具有两种不同的时空几何形状时，它可以同时具有两种不同的质量值。在这里，我们探讨的可能性，天体物理学的失踪质量归因于非重子暗物质（DM）实际上获得，因为我们一直假设的质量的牛顿的观点，而不是GR的观点。由于一个精确的GR解决方案，现实的天体物理情况是不可行的，我们探讨GR动机ansatzes有关适当的质量和动态质量的一个和相同的重子物质，作为理由的GR上下文。我们考虑了四种GR替代方案，发现由度规微扰理论激发的GR分析可以很好地拟合银河系旋转曲线（THINGS数据），X射线团的质量分布（ROSAT和ASCA数据）和宇宙微波背景的角功率谱（CMB，Planck 2015数据）。我们比较我们的银河系旋转曲线拟合修改后的牛顿动力学（MOND），Burkett晕DM和Navarro-Frenk-White（NFW）晕DM。我们比较我们的X射线集群质量分布适合度量偏张量重力（MSTG）和核心修改NFW DM。我们比较我们的CMB角功率谱适合标量张量矢量引力（STVG）和$Λ$ CDM。总体而言，我们发现我们的拟合与MOND、MSTG、STVG、$Λ$ CDM、Burkett和NFW的拟合相当。我们提出并讨论了我们的拟合参数的最佳拟合值的相关性和趋势。在大多数情况下，相关性是一致的，在所有尺度上，这可能是令人惊讶的简单的功能形式的GR分析。
英文摘要：
In Newtonian gravity, mass is an intrinsic property of matter while in general relativity (GR), mass is a contextual property of matter, i.e., matter can simultaneously possess two different values of mass when it is responsible for two different spatiotemporal geometries. Herein, we explore the possibility that the astrophysical missing mass attributed to non-baryonic dark matter (DM) actually obtains because we have been assuming the Newtonian view of mass rather than the GR view. Since an exact GR solution for realistic astrophysical situations is not feasible, we explore GR-motivated ansatzes relating proper mass and dynamic mass for one and the same baryonic matter, as justified by GR contextuality. We consider four GR alternatives and find that the GR ansatz motivated by metric perturbation theory works well in fitting galactic rotation curves (THINGS data), the mass profiles of X-ray clusters (ROSAT and ASCA data) and the angular power spectrum of the cosmic microwave background (CMB, Planck 2015 data) without DM. We compare our galactic rotation curve fits to modified Newtonian dynamics (MOND), Burkett halo DM and Navarro-Frenk-White (NFW) halo DM. We compare our X-ray cluster mass profile fits to metric skew-tensor gravity (MSTG) and core-modified NFW DM. We compare our CMB angular power spectrum fit to scalar-tensor-vector gravity (STVG) and $Λ$CDM. Overall, we find our fits to be comparable to those of MOND, MSTG, STVG, $Λ$CDM, Burkett, and NFW. We present and discuss correlations and trends for the best fit values of our fitting parameters. For the most part, the correlations are consistent with well-established results at all scales, which is perhaps surprising given the simple functional form of the GR ansatz.
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