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

José Luis Flores (), Jónatan Herrera () and Miguel Sánchez ()
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José Luis Flores: Universidad de Málaga, Departamento de Álgebra, Geometría y Topología Fac. Ciencias
Jónatan Herrera: Universidad de Málaga, Departamento de Álgebra, Geometría y Topología Fac. Ciencias
Miguel Sánchez: Universidad de Granada, Departamento de Geometría y Topología Fac. Ciencias

A chapter in Quantum Field Theory and Gravity, 2012, pp 97-119 from Springer

Abstract: 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. (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0043-3_6

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DOI: 10.1007/978-3-0348-0043-3_6

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