EINSTEIN EQUATIONS AND CONFORMAL STRUCTURE - EXISTENCE OF ANTI DE SITTER TYPE SPACE-TIMES
EINSTEIN EQUATIONS AND CONFORMAL STRUCTURE - EXISTENCE OF ANTI DE SITTER TYPE SPACE-TIMES
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DOI：
10.1016/0393-0440(94)00042-3
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发表时间：
1995-10-01
影响因子：
1.5
通讯作者：
FRIEDRICH, H
中科院分区：
文献类型：
--
作者：
FRIEDRICH, H
我们讨论了爱因斯坦方程的正规共形Cartan连接，导出了该方程的一个新的共形表示，并在共形不变规范中表示了该方程。所得到的方程公式用于证明具有正宇宙常数的爱因斯坦方程的渐近简单解的存在性。解的特征是类空间切片上的柯西数据和类空间和零无穷处共形边界上的本征共形结构。
We discuss Einstein's equations in the context of normal conformal Cartan connections, derive a new conformal representation of the equations, and express the equations in a conformally invariant gauge. The resulting formulation of the equations is used to show the existence of asymptotically simple solutions to Einstein's equations with a positive cosmological constant. The solutions are characterized by Cauchy data on a space-like slice and by the intrinsic conformal structure on the conformal boundary at space-like and null infinity.