The causal boundary of wave-type spacetimes
General Relativity and Quantum Cosmology
2008-11-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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).
Keywords
Cite
@article{arxiv.0712.0592,
title = {The causal boundary of wave-type spacetimes},
author = {José Luis Flores and Miguel Sánchez},
journal= {arXiv preprint arXiv:0712.0592},
year = {2008}
}
Comments
41 pages, 1 table. Included 4 new figures, and some small modifications. To appear in JHEP