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The limit space of a Cauchy sequence of globally hyperbolic spacetimes

Johan Noldus
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Abstract

In this second paper, I construct a limit space of a Cauchy sequence of globally hyperbolic spacetimes. In the second section, I work gradually towards a construction of the limit space. I prove the limit space is unique up to isometry. I als show that, in general, the limit space has quite complicated causal behaviour. This work prepares the final paper in which I shall study in more detail properties of the limit space and the moduli space of (compact) globally hyperbolic spacetimes (cobordisms). As a fait divers, I give in this paper a suitable definition of dimension of a Lorentz space in agreement with the one given by Gromov in the Riemannian case.

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Johan Noldus. 2003-11-18. The limit space of a Cauchy sequence of globally hyperbolic spacetimes. https://doi.org/10.1088/0264-9381%2F21%2F4%2F008

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