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arXiv 1209.0192math-phgr-qcmath.DGmath.MP
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用等因果关系证明因果边界的可计算性

Computability of the causal boundary by using isocausality

J. L. Flores, J. Herrera, M. Sanchez

摘要:

近年来,人们对数学相对论中的经典c-边界提出了一种新的观点,分析了它与共形边界及其它经典边界的关系,并在几类标准定常时空中进行了计算。在本文中,我们考虑了García-Parrado和Senovilla给出的等因果性概念,并引入了一个框架来与标准定态时空进行等因果性比较。作为结果,定性行为的c-边界(在三个层次:点集,年表和拓扑)的一个广泛的类的时空,得到。

英文摘要:

Recently, a new viewpoint on the classical c-boundary in Mathematical Relativity has been developed, the relations of this boundary with the conformal one and other classical boundaries have been analyzed, and its computation in some classes of spacetimes, as the standard stationary ones, has been carried out. In the present paper, we consider the notion of isocausality given by García-Parrado and Senovilla, and introduce a framework to carry out isocausal comparisons with standard stationary spacetimes. As a consequence, the qualitative behavior of the c-boundary (at the three levels: point set, chronology and topology) of a wide class of spacetimes, is obtained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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