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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    7 Citations (Scopus)
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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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