Springer, Journal of High Energy Physics, 03(2008), p. 036-036, 2008
DOI: 10.1088/1126-6708/2008/03/036
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A complete and systematic approach to compute the causal boundary of wave-type spacetimes is carried out. The case of a 1-dimensional boundary is specially analyzed and its critical appearance in pp-wave type spacetimes is emphasized. In particular, the corresponding results obtained in the framework of the AdS/CFT correspondence for holography on the boundary, are reinterpreted and very widely generalized. Technically, a recent new definition of causal boundary is used and stressed. Moreover, a set of mathematical tools is introduced (analytical functional approach, Sturm-Liouville theory, Fermat-type arrival time, Busemann-type functions). ; Comment: 41 pages, 1 table. Included 4 new figures, and some small modifications. To appear in JHEP