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arXiv · 0712.0592

The causal boundary of wave-type spacetimes

José Luis Flores·Miguel Sánchez
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Abstract

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).

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José Luis Flores, Miguel Sánchez. 2008-02-29. The causal boundary of wave-type spacetimes. https://doi.org/10.1088/1126-6708%2F2008%2F03%2F036

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