2008/12/31 by Miguel Sánchez · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th #math-ph #math.DG #math.MP #msc:53C50 #msc:81T30 #msc:83C35 #msc:83E30
paper · pdf · doi:10.1016/j.na.2009.02.101
published as Nonlinear Analysis 71 (2009) e1744e1764 · Minor corrections and improvements in some figures. To appear un Nonlinear Analysis (2009) 35 pages, including 10 figures and one table; Latex
openalex publication_date 2009/03/01 · arxiv created 2009/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
The notion of a causal boundary for a spacetime has been a controversial topic during the last three decades. Moreover, recently the role of the boundary in the AdS/CFT correspondence for plane waves, have stimulated its redefinition with some possible alternatives. Our aim is threefold. First, to review the different classical approaches to boundaries of spacetimes, emphasizing their drawbacks and the progressive redefinitions of the c-boundary. Second, to explain how plane waves and AdS/CFT correspondence come into play, stressing the role of the c-boundary as the holographic boundary in this correspondence. And, third, to discuss the present-day status of the c-boundary, making clear the arguments of a definitive proposal.