Poisson结构的能量动量
The Energy-momentum of a Poisson structure
摘要：
考虑非对易几何的拟对易近似。它表明，有一个自然的映射，从由此产生的泊松结构的黎曼曲率的度量。这张图被应用于高频引力辐射的研究。在经典引力中，WKB近似有两个有趣的结果，色散关系和守恒定律。这两个结果都可以推广到非对易情形，不同的是它们是由对泊松结构的高频贡献的上循环条件而不是场方程得到的。
英文摘要：
Consider the quasi-commutative approximation to a noncommutative geometry. It is shown that there is a natural map from the resulting Poisson structure to the Riemann curvature of a metric. This map is applied to the study of high-frequency gravitational radiation. In classical gravity in the WKB approximation there are two results of interest, a dispersion relation and a conservation law. Both of these results can be extended to the noncommutative case, with the difference that they result from a cocycle condition on the high-frequency contribution to the Poisson structure, not from the field equations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
