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

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Bautista, A. and Ibort, A. and Lafuente López, Javier and Low, R. (2017) A conformal boundary for space-times based on light-like geodesics: The 3-dimensional case. Journal of mathematical physics, 58 (1). 022503-1. ISSN 0022-2488

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Official URL: http://aip.scitation.org/doi/abs/10.1063/1.4976506


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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 diffeomorphisms 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), pp. 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.Anumber of examples illustrating the properties of this newcausal boundary as well as a discussion on the obtained results will be provided.


Item Type:Article
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:42069
Deposited On:05 Apr 2017 10:16
Last Modified:12 Dec 2018 15:12

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