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IOP Publishing, Classical and Quantum Gravity, 17(28), p. 175016

DOI: 10.1088/0264-9381/28/17/175016

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Isocausal spacetimes may have different causal boundaries

Journal article published in 2011 by J. L. Flores, J. Herrera, M. Sánchez ORCID
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Abstract

We construct an example which shows that two isocausal space-times, in the sense introduced recently in A. García-Parrado and J. M. M. Senovilla [Classical Quantum Gravity 20, No. 4, 625–664 (2003; Zbl 1026.83013)], may have c-boundaries which are not equal (more precisely, not equivalent, as no bijection between the completions can preserve all the binary relations induced by causality). This example also suggests that isocausality can be useful for the understanding and computation of the c-boundary.