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Computability of the causal boundary by using isocausality

Computability of the causal boundary by using isocausalityar
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 Garc\'ia-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.

Từ khóa: mathematical relativity, nathematical physics, general relativity, quantum cosmology, Differential Geometry, toán lý, học thuyết vũ trụ tương đối

43 p conhi 25/09/2012 139 1

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