Causal Boundary of Spacetimes:Revision and Applications to AdS/CFT Correspondence

  • José Luis Flores
  • Jónatan Herrera
  • Miguel Sánchez
Chapter

Abstract

The aim of this work is to explain the status and role of the so-called causal boundary of a spacetime in Mathematical Physics and Differential Geometry. This includes: (a) the consistency of its latest redefinition, (b) its role as an intrinsic conformally invariant boundary in the AdS/CFT correspondence, (c) its relation with the Gromov and Cauchy boundaries for a Riemannian manifold, and (d) its further relation with boundaries in Finsler Geometry.

Keywords

Causal boundary conformal boundary AdS/CFT correspondence plane wave static spacetime Gromov compactification Cauchy completion Busemann function stationary spacetime Finsler metric Randers metric pp-wave arrival functional Sturm-Liouville theory. 

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Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  • José Luis Flores
    • 1
  • Jónatan Herrera
    • 1
  • Miguel Sánchez
    • 2
  1. 1.Departamento de Álgebra, Geometría y Topología Fac. CienciasUniversidad de MálagaMálagaSpain
  2. 2.Departamento de Geometría y Topología Fac. CienciasUniversidad de GranadaGranadaSpain

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