Luca Bombelli and Johan Noldus 2004 Class. Quantum Grav. 21 4429 doi:10.1088/0264-9381/21/18/010
Luca Bombelli1 and Johan Noldus2
Show affiliationsThis paper is part of a research programme on the structure of the moduli space of Lorentzian geometries, a Lorentzian analogue of Gromov–Hausdorff theory based on the use of the Lorentz distance as basic kinematical variable. We first prove results aimed at a better understanding of the tools available in this framework, such as the relationship between notions of closeness used to define limit spaces, and the properties of the auxiliary 'strong' Riemannian metric defined on each Lorentz space. Then we examine concepts motivated by applications to quantum gravity, namely causality of the limit spaces and compactness of classes of Lorentz spaces.
53C50 Lorentz manifolds, manifolds with indefinite metrics
53C20 Global Riemannian geometry, including pinching (See also 31C12, 58B20)
Issue 18 (21 September 2004)
Received 17 May 2004
Published 1 October 2004
Luca Bombelli and Johan Noldus 2004 Class. Quantum Grav. 21 4429
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