Growth conditions, Riemannian completeness and Lorentzian causality

DOI10.1016/j.geomphys.2011.04.017zbMath1239.53017OpenAlexW2065726055WikidataQ115353265 ScholiaQ115353265MaRDI QIDQ764518

Alexander Dirmeier, Matthias Plaue, Mike Scherfner

Publication date: 13 March 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.04.017

zbMATH Keywords

stationary spacetimescomplete Riemannian metricsFinsler-Randers metrics

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

On the Completeness of Trajectories for Some Mechanical Systems ⋮ Corrigendum to ``Growth conditions, Riemannian completeness and Lorentzian causality ⋮ On some refraction billiards ⋮ Almost isometries of non-reversible metrics with applications to stationary spacetimes ⋮ Canonical Kähler metrics on classes of Lorentzian 4-manifolds

Cites Work

• On the energy functional on Finsler manifolds and applications to stationary spacetimes
• On the interplay between Lorentzian causality and Finsler metrics of Randers type
• On the geometry of static spacetimes
• Quadrants of Riemannian metrics
• The denseness of complete Riemannian metrics
• The Existence of Complete Riemannian Metrics
• Corrections to "An Analytical Criterion for the Completeness of Riemannian Manifolds"
• An Analytical Criterion for the Completeness of Riemannian Manifolds
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