The moduli space of isometry classes of globally hyperbolic spacetimes

@article{Bombelli2004TheMS,
  title={The moduli space of isometry classes of globally hyperbolic spacetimes},
  author={L. Bombelli and Johan Noldus},
  journal={Classical and Quantum Gravity},
  year={2004},
  volume={21},
  pages={4429-4453}
}
  • L. Bombelli, Johan Noldus
  • Published 2004
  • Physics
  • Classical and Quantum Gravity
  • This 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… CONTINUE READING
    21 Citations

    Figures from this paper

    A Lorentzian Gromov–Hausdorff notion of distance
    • 22
    • PDF
    The limit space of a Cauchy sequence of globally hyperbolic spacetimes
    • 17
    • PDF
    How Riemannian Manifolds Converge
    • 8
    • PDF
    How Riemannian Manifolds Converge: A Survey
    • 8
    • PDF
    ON THE GEOMETRY OF LORENTZ SPACES AS A LIMIT SPACE
    • PDF
    A NOTE ON THE LORENTZIAN LIMIT CURVE THEOREM
    • PDF

    References

    SHOWING 1-10 OF 28 REFERENCES
    A Lorentzian Gromov–Hausdorff notion of distance
    • 22
    • PDF
    A new topology on the space of Lorentzian metrics on a fixed manifold
    • 16
    • PDF
    The origin of Lorentzian geometry
    • 53
    The limit space of a Cauchy sequence of globally hyperbolic spacetimes
    • 17
    • PDF
    Riemannian Geometry
    • 5,218
    • PDF
    Global Lorentzian Geometry
    • 904
    • PDF
    A causal order for spacetimes with Lorentzian metrics: proof of compactness of the space of causal curves
    • 71
    • Highly Influential
    • PDF
    Statistical Lorentzian geometry and the closeness of Lorentzian manifolds
    • 39
    • PDF
    Metric Structures for Riemannian and Non-Riemannian Spaces
    • 2,082
    • Highly Influential