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Isocausal spacetimes may have different causal boundaries

2011/03/31 by J. L. Flores, J L Flores, J. Herrera +3
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Bijection #Binary number #Construct (python library) #Cosmological model #Geometric Analysis and Curvature Flows #Noncommutative and Quantum Gravity Theories #Type (biology) #gr-qc #math-ph #math.DG #math.MP #msc:53C50 #msc:83C20 #msc:83C75

paper · pdf · doi:10.1088/0264-9381/28/17/175016

published as Class. Quantum Grav. 28 (2011) 175016 · Minor modifications, including the title, which matches now with the published version. 12 pages, 3 figures

openalex publication_date 2011/08/16 · arxiv created 2013/01/15 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Abstract\nWe construct an example which shows that two isocausal spacetimes, in the sense introduced recently in [ 12 ], 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.

Citations