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

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

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
JournalJournal of Mathematical Physics
VolumeIn press
DOIs
StatePublished - 2017

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Space-time
Geodesic
Half line
Physics
Invariant
Term

Keywords

  • Causal boundary
  • c-boundary
  • space-time

Cite this

A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case. / Bautista, A.; Ibort, A.; Lafuente, J.; Low, Robert.

In: Journal of Mathematical Physics, Vol. In press, 2017.

Research output: Contribution to journalArticle

Bautista, A.; Ibort, A.; Lafuente, J.; Low, Robert / A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case.

In: Journal of Mathematical Physics, Vol. In press, 2017.

Research output: Contribution to journalArticle

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