An intrinsic conformal Lorentz pseudodistance
An intrinsic conformal Lorentz pseudodistance
复制标题
固有共形洛伦兹伪距离
DOI：
10.1017/s0305004100058230
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发表时间：
1981
影响因子：
0.8
通讯作者：
Michael Markowitz
中科院分区：
文献类型：
--
作者：
Michael Markowitz
摘要洛伦兹流形（M，g）的内在伪距离dM与其内在的因果结构相联系。在M上的零向量丛上定义了dM的一个无穷小形式，并用来证明在某些物理上合理的能量条件下，M是共形双曲的，即dM是真距离。作为推论，我们得到了整体双曲时空共形双曲性的充分条件。一些爱因斯坦场方程的精确解进行了讨论和可能的应用研究的奇点概述。
Abstract An intrinsic pseudodistance dM is associated to the underlying causal structure of a Lorentzian manifold (M, g). An infinitesimal form for dM is defined on the bundle of null vectors over M and is used to prove that, under certain physically reasonable energy conditions, M is conformally hyperbolic, i.e. that dM is a true distance. As a corollary we obtain sufficient conditions for the conformal hyperbolicity of a globally hyperbolic space-time. Some exact solutions of the Einstein field equations are discussed and possible applications to the study of singularities are outlined.