4.4 Article

Null Distance and Convergence of Lorentzian Length Spaces

Related references

Note: Only part of the references are listed.
Article Mathematics

Properties of the Null Distance and Spacetime Convergence

Brian Allen et al.

Summary: The study introduces the null distance for Lorentzian manifolds and its applications in warped product spacetimes, setting the stage for investigating convergence analogous to Riemannian geometry. The main theorem presents a general convergence result for warped product spacetimes relating different types of convergence of the corresponding null distances and shows that nonuniform convergence of warping functions can lead to distinct limiting behaviors.

INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2022)

Article Astronomy & Astrophysics

On the causal hierarchy of Lorentzian length spaces

Luis Ake Hau et al.

CLASSICAL AND QUANTUM GRAVITY (2020)

Review Physics, Particles & Fields

Lorentzian causality theory

E. Minguzzi

LIVING REVIEWS IN RELATIVITY (2019)

Article Mathematics

Inextendibility of spacetimes and Lorentzian length spaces

James D. E. Grant et al.

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY (2019)

Review Physics, Mathematical

Causality theory for closed cone structures with applications

Ettore Minguzzi

REVIEWS IN MATHEMATICAL PHYSICS (2019)

Article Mathematics

Lorentzian length spaces

Michael Kunzinger et al.

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY (2018)

Article Mathematics

The intrinsic flat distance between Riemannian manifolds and other integral current spaces

Christina Sormani et al.

JOURNAL OF DIFFERENTIAL GEOMETRY (2017)

Article Astronomy & Astrophysics

Null distance on a spacetime

Christina Sormani et al.

CLASSICAL AND QUANTUM GRAVITY (2016)

Article Mathematics

Lorentz and semi-Riemannian spaces with Alexandrov curvature bounds

Stephanie B. Alexander et al.

COMMUNICATIONS IN ANALYSIS AND GEOMETRY (2013)

Article Astronomy & Astrophysics

On Lorentzian causality with continuous metrics

Piotr T. Chrusciel et al.

CLASSICAL AND QUANTUM GRAVITY (2012)