### 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 language | English |
---|---|

Article number | 022503 |

Journal | Journal of Mathematical Physics |

Volume | 58 |

Issue number | 2 |

DOIs | |

Publication status | Published - 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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## Cite this

Bautista, A., Ibort, A., Lafuente, J., & Low, R. (2017). A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case.

*Journal of Mathematical Physics*,*58*(2), [022503]. https://doi.org/10.1063/1.4976506