Title: Nonlocal Metric Realizations of MOND Show Chinese title

Title: 非局部度量的MOND实现

Abstract: I discuss relativistic extensions of MOND in which the metric couples normally to matter. I argue that MOND might be a residual effect from the vacuum polarization of infrared gravitons produced during primordial inflation. If so, MOND corrections to the gravitational field equations would be nonlocal. Nonocality also results when one constructs metric field equations which reproduce the Tully-Fisher relation, along with sufficient weak lensing. I give the full field equations for the simplest class of models, and I specialize these equations to the geometries relevant for cosmology. I conclude by sketching the direction of future studies. Show Chinese abstract

Abstract: 我讨论了MOND的相对论扩展，其中度规正常地与物质耦合。 我主张MOND可能是在原初暴胀期间产生的红外引力子真空极化的一个残留效应。 如果是这样的话，MOND对引力场方程的修正将是非局域的。 当构建能够重现Tully-Fisher关系并具备足够弱透镜效应的度规场方程时，也会出现非局域性。 我给出了最简单模型类的完整场方程，并将这些方程专门应用于与宇宙学相关的几何结构。 最后，我简要描述了未来研究的方向。