The causal boundary of wave-type spacetimes
Jos\'e Luis Flores, Miguel S\'anchez
TL;DR
This paper develops a comprehensive method to compute the causal boundary of wave-type spacetimes, emphasizing the 1-dimensional boundary case and its implications for holography in the AdS/CFT correspondence.
Contribution
It introduces a systematic approach using a new causal boundary definition and mathematical tools to analyze wave-type spacetimes and their boundaries.
Findings
Complete causal boundary computation method for wave spacetimes
Identification of 1-dimensional boundary significance in pp-waves
Generalization of holographic boundary results in AdS/CFT
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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