论文标题
基于光明测量学的空间时间的共形边界：3维情况
A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case
论文作者
论文摘要
A new causal boundary, which we will term the $l$-boundary, inspired by the geometry of the space of light rays and invariant by conformal diffeomorphisms for space-times of any dimension $m\geq 3$, proposed by one of the authors (R.J. Low, The space of null geodesics (and a new causal boundary), Lecture Notes in Physics, 692, Springer, 2006, 35--50）详细分析了维度3的空间时间。在某些自然假设下，显示完整的时空变成了边界的平滑歧管，并讨论了与Geroch-Kronheimer-Penrose因果关系的关系。将提供许多示例，说明了新因果边界的特性以及对获得结果的讨论。
A new causal boundary, which we will term the $l$-boundary, inspired by the geometry of the space of light rays and invariant by conformal diffeomorphisms for space-times of any dimension $m\geq 3$, proposed by one of the authors (R.J. Low, The space of null geodesics (and a new causal boundary), Lecture Notes in Physics, 692, Springer, 2006, 35--50) is analyzed in detail for space-times of dimension 3. Under some natural assumptions it is shown that the completed space-time becomes a smooth manifold with boundary and its relation with Geroch-Kronheimer-Penrose causal boundary is discussed. A number of examples illustrating the properties of this new causal boundary as well as a discussion on the obtained results will be provided.
