论文标题
哈密顿的尘埃云崩溃的表述
Hamiltonian formulation of dust cloud collapse
论文作者
论文摘要
我们认为，在哈密顿形式主义中，自我磨碎的球形尘埃云的引力崩溃。我们解决均匀和不均匀的情况。我们对系统的新颖的派生是基于在\ cite {kmm}中提出的改进的变分原理。由于在希尔伯特作用中添加了额外的边界项，目前的推导与通常的治疗不同。不出所料，检索了标准运动方程。但是，与其他治疗方法不同，在施瓦茨柴尔兹（Schwarzschild）时间表中获得的汉密尔顿总数与系统的总质量相同，与从无穷大的总质量相同。提出了对系统量化的影响。
We consider the gravitational collapse of self-gravitating spherical dust cloud in the Hamiltonian formalism. We address both homogeneous and inhomogeneous cases. Our novel derivation of the Hamiltonian of the system is based on the improved variational principle that was proposed in \cite{KMM}. The present derivation differs from usual treatments due to the presence of an extra boundary term added to the Hilbert action. As expected, the standard equations of motion are retrieved. However, differently from other treatments, the total Hamiltonian obtained with our procedure in the Schwarzschild time-gauge is identical to the total mass of the system as measured from infinity, as it would be expected. Implications for the quantization of the system are suggested.
