A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case

A. Bautista, A. Ibort, J. Lafuente, Robert Low

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Abstract

A new causal boundary, which we will term the l-boundary, inspired by the geometry of the space of light rays and invariant by conformal dieomorphisms for space-times of any dimension m 3, proposed by one of the authors (R.J. Low, The space of null geodesics (and a new causal boundary), Lecture Notes in Physics 692, Springer, 2006, 35{50) is analyzed in detail for space-times of dimension 3. Under some natural assumptions it is shown that the completed space-time becomes a smooth manifold with boundary and its relation with Geroch-Kronheimer-Penrose causal boundary is discussed. A number of examples illustrating the properties of this new causal boundary as well as a discussion on the obtained results will be provided.
Original languageEnglish
Article number022503
JournalJournal of Mathematical Physics
Volume58
Issue number2
DOIs
Publication statusPublished - 28 Feb 2017

Bibliographical note

This paper has been accepted for publication in Journal of Mathematical Physics on 8 January 2017.

Keywords

  • Causal boundary
  • c-boundary
  • space-time

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