普列班斯基引力的瞬子表示。时间演化下初值约束的一致性
Instanton representation of Plebanski gravity. Consistency of the initital value constraints under time evolution
摘要：
普列班斯基引力的瞬子表示提供了一个霍奇自对偶条件和一组“广义”麦克斯韦方程作为运动方程，这些方程受编码在广义相对论初值约束中的引力自由度的约束。本文的主要结果将证明，这一约束面下的时间演化保持。我们不使用通常的狄拉克程序，而是使用拉格朗日运动方程本身来实现这一点。最后，我们提供了一个比较与Ashtekar配方，把这些结果纳入整体背景。
英文摘要：
The instanton representation of Plebanski gravity provides as equations of motion a Hodge self-duality condition and a set of `generalized' Maxwell's equations, subject to gravitational degrees of freedom encoded in the initial value constraints of general relativity. The main result of the present paper will be to prove that this constraint surface is preserved under time evolution. We carry this out not using the usual Dirac procedure, but rather the Lagrangian equations of motion themsleves. Finally, we provide a comparison with the Ashtekar formulation to place these results into overall context.
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。
