A Nonlocal metric formulation of MOND
A Nonlocal metric formulation of MOND
复制标题
MOND 的非局部度量公式
DOI：
10.1088/0264-9381/20/13/321
复制
发表时间：
2003
影响因子：
3.5
通讯作者：
R. Woodard
中科院分区：
文献类型：
--
作者：
M. Soussa;R. Woodard
研究了一类非局部的、因果的、协变的、守恒的度规场方程。虽然这些方程是非定域的，但在弱场微扰理论中似乎没有额外的引力子解。事实上，当里奇标量在整个时空中消失时，这些方程就简化为广义相对论的方程。当一个静态的物质源存在时，我们展示了如何调整这些方程，以重现米尔格罗姆的修改后的牛顿动力学在弱场制度，而减少到广义相对论强场。我们计算了弱场状态下光的角偏转，并证明了它与广义相对论相同，如果没有暗物质存在，则透镜效应太小。我们还研究了一般Robertson-Walker几何的场方程。我们的方程的一个有趣的特点是，他们成为保形不变的MOND极限。
We study a class of nonlocal, but causal, covariant and conserved field equations for the metric. Although nonlocal, these equations do not seem to possess extra graviton solutions in weak field perturbation theory. Indeed, the equations reduce to those of general relativity when the Ricci scalar vanishes throughout spacetime. When a static matter source is present, we show how these equations can be adjusted to reproduce Milgrom's modified Newtonian dynamics in the weak field regime, while reducing to general relativity for strong fields. We compute the angular deflection of light in the weak field regime and demonstrate that it is the same as for general relativity, resulting in far too little lensing if no dark matter is present. We also study the field equations for a general Robertson–Walker geometry. An interesting feature of our equations is that they become conformally invariant in the MOND limit.