论文标题
至少动作原理的双层
Double layer from least action principle
论文作者
论文摘要
我们仅使用最小动作原理来得出二层重力的双层方程。我们方法的优点是，在计算过程中，$Δ'$ - 函数根本不会出现，并且$δ$ functions暂时出现，并且在集成之前被相互取消。我们揭示了所获得的方程的特殊结构，即，物质场的表面能摩孔张量（薄壳的组成部分）在确定双层轨迹的测定中不起作用。另外，我们建议，类似空间的双层可以为我们提供对黑洞奇点创建宇宙的足够描述。不久将讨论相关主题，包括高斯 - 邦纳特术语和$ f（r）$ - 理论。
We derived the equations for the double layers in Quadratic Gravity, using solely the least action principle. The advantage of our approach is that, in the process of calculation, the $δ'$-function does not appear at all, and the $δ$-functions appear for a moment and are mutually canceled prior to integration. We revealed the peculiar structure of the obtained equations, namely, that the surface energy-momentum tensor of the matter fields (constituents of the thin shells) does not play a role in the determination of the trajectory of the double layer. Also, we suggested that the space-like double layers may provide us with the adequate description of the creation of the universe from the black hole singularity. The related topics, including the Gauss-Bonnet term and $F(R)$-theories, are shortly discussed.
