论文标题
Mond的非金属标量的非线性扩展
Non-linear extension of non-metricity scalar for MOND
论文作者
论文摘要
从曲率，扭转或非数值方面，一般相对性享有不同几何解释的自由。在这个几何三位一体中，更简单的一般相对性的几何表述在后者中表现出来，其中重力完全归因于非度量。在这封信中，我们考虑了一致的一般相对论的非线性扩展$ f（\ Mathring {\ Mathbb {q}}）$，用于宇宙学和银河系尺度上的现象学应用。该理论不仅在大尺度上提供了深色能量，而且还恢复了银河尺度上的蒙德，以及对早期宇宙宇宙学的影响。据我们所知，这代表了MOND的第一个相对论，协变和无鬼混合成型，它在适当的限制中恢复了一般相对论和MOND，并调和了预期的宇宙学行为。我们进一步说明，MOND的先前双光仪均具有幽灵不稳定性和$ f（\ Mathring {\ Mathbb {q}}}）$ Crystalalize作为一种独特的无鬼理论。
General Relativity enjoys the freedom of different geometrical interpretations in terms of curvature, torsion or non-metricity. Within this geometrical trinity, a simpler geometrical formulation of General Relativity manifests itself in the latter, where gravity is entirely attributed to non-metricity. In this Letter, we consider non-linear extensions of Coincident General Relativity $f(\mathring{\mathbb{Q}})$ for phenomenological applications on both cosmological as well as galactic scales. The theory not only delivers dark energy on large scales but also recovers MOND on galactic scales, together with implications for the early universe cosmology. To the best of our knowledge, this represents the first relativistic, covariant, and ghost-free hybrid-formulation of MOND which recovers both, General Relativity and MOND in the appropriate limits and reconciles expected cosmological behavior. We further illustrate that previous bimetric formulations of MOND generically suffer from ghost instabilities and $f(\mathring{\mathbb{Q}})$ crystalizes as a unique ghost-free theory.
