Abstract

The reduced vacuum Hamiltonian equations of conformal geometrodynamics of compact manifolds in extrinsic time are written. This is achieved by generalizing the theorem of implicit function derivative to the functional analysis. Under the assumption that constant curvature slicing takes place, York’s field time becomes the global time.

中文翻译：

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外部适形地球动力学的哈密顿方程

摘要

编写了非固有时间紧流形的共形几何动力学的降低真空哈密顿方程。这是通过将隐函数导数定理推广到泛函分析来实现的。在进行恒定曲率切片的假设下，约克的野外时间成为全球时间。