Computability of the causal boundary by using isocausality
Abstract
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 this 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.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- April 2013
- DOI:
- 10.1088/0264-9381/30/7/075009
- arXiv:
- arXiv:1209.0192
- Bibcode:
- 2013CQGra..30g5009F
- Keywords:
-
- Mathematical Physics;
- General Relativity and Quantum Cosmology;
- Mathematics - Differential Geometry;
- 83C75;
- 53C50;
- 83C20
- E-Print:
- 44 pages, 5 Figures, latex. Version with minor changes and the inclusion of Figure 5