### Abstract

Original language | English |
---|---|

Article number | 022503 |

Journal | Journal of Mathematical Physics |

Volume | 58 |

Issue number | 2 |

DOIs | |

Publication status | Published - 28 Feb 2017 |

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### 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

### Cite this

*Journal of Mathematical Physics*,

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

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

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 58, no. 2, 022503. https://doi.org/10.1063/1.4976506

}

TY - JOUR

T1 - A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case

AU - Bautista, A.

AU - Ibort, A.

AU - Lafuente, J.

AU - Low, Robert

N1 - This paper has been accepted for publication in Journal of Mathematical Physics on 8 January 2017.

PY - 2017/2/28

Y1 - 2017/2/28

N2 - 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.

AB - 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.

KW - Causal boundary

KW - c-boundary

KW - space-time

U2 - 10.1063/1.4976506

DO - 10.1063/1.4976506

M3 - Article

VL - 58

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 2

M1 - 022503

ER -