The conformal flow of metrics and the general Penrose inequality
The conformal flow of metrics and the general Penrose inequality
复制标题
度量的等角流和一般彭罗斯不等式
DOI：
10.1155/2018/7390148
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Khuri, Marcus
中科院分区：
文献类型：
--
作者：
Han, Qing;Khuri, Marcus
度规的共形流已经被用来成功地建立彭罗斯不等式的一个特例，它给出了时空总质量的视界面积的下界。在这里，我们展示了如何适应的共形流的度量，使它可以应用到彭罗斯不等式的一般初始数据集的爱因斯坦方程。在没有时间对称性假设的情况下，彭罗斯猜想被简化为求解一个具有理想性质的偏微分方程组。
The conformal flow of metrics has been used to successfully establish a special case of the Penrose inequality, which yields a lower bound for the total mass of a spacetime in terms of horizon area. Here we show how to adapt the conformal flow of metrics, so that it may be applied to the Penrose inequality for general initial data sets of the Einstein equations. The Penrose conjecture without the assumption of time symmetry is then reduced to solving a system of PDE with desirable properties.