径向加速度关系的物理起源
On the physical origin of the radial acceleration relation
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中文总结 AI 辅助
该研究提出修正广义相对论（MGR），解释径向加速度关系（RAR）的物理起源，其包含MOND，可解释宽双星引力异常，符合大尺度牛顿引力行为。
中文摘要 AI 辅助
径向加速度关系（RAR）是星系中重子物质分布与其观测动力学之间的紧密关联，即使在暗物质占主导的系统中也存在，这表明星系中存在一个普适的加速度标度，似乎对ΛCDM标准宇宙学模型提出了挑战，更支持修正牛顿动力学（MOND）。然而，MOND也与RAR存在偏差，这些偏差无法由ΛCDM模型或MOND完全解释。因此需要一种从几何角度解释引力和暗区、将暗物质视为自旋1粒子的理论，例如修正广义相对论（MGR）。MGR是唯一与度规兼容的引力理论，它通过与联络无关的对称张量Φ_αβ描述局域引力能量动量，该张量补充了爱因斯坦方程的总能量动量张量：暗能量由与能量相关的分量Φ₀₀解释，暗物质由应力分量Φ_ij解释；暗物质因本质上与时空的洛伦兹度规相关而极难观测。RAR的物理起源直接源于星系或星系团旋转曲线外部暗能量与牛顿力的平衡，以及旋转曲线内部暗区力之间的平衡。研究表明，MGR包含了MOND，解释了宽双星中观测到的引力异常，且在大尺度上呈现出观测到的引力牛顿行为。
英文摘要
The radial acceleration relation (RAR) is a tight correlation between the distribution of baryonic matter in galaxies and their observed dynamics, even in systems where dark matter dominates. This suggests a universal acceleration scale exists in galaxies, which appears to challenge the $Λ$CDM standard cosmological model and favor Modified Newtonian dynamics (MOND). However, MOND also deviates from the RAR, so these deviations are not fully explained by the $Λ$CDM model or MOND. A theory that explains gravity and the dark sector geometrically, and treats dark matter as a spin-1 particle, is required, such as Modified General Relativity (MGR). It is the only metric-compatible theory of gravity that describes local gravitational energy-momentum by the connection-independent symmetric tensor $\varPhi_{αβ}$, which completes the total energy-momentum tensor of the Einstein equation. Dark energy is explained by the energy-related component $\varPhi_{00}$, and dark matter by the stress components $\varPhi_{ij}$. Dark matter is extremely difficult to observe because it is fundamentally related to the Lorentzian metric of spacetime itself. The physical origin of the RAR follows directly from the equilibrium between the dark energy and Newtonian forces in the outer part of the rotation curve of galaxies or galaxy clusters, and that between the dark sector forces in the inner part of the rotation curve. It is shown that MGR subsumes MOND, accounts for the gravitational anomaly observed in wide binaries, and exhibits the observed Newtonian behavior of gravity at large scales.
发表机构
- University of Alberta（阿尔伯塔大学）
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