Existence and multiplicity results for massive particles trajectories in a universe with boundary

DOI10.1063/1.533058zbMath0952.58009OpenAlexW1975180135MaRDI QIDQ4498469

Anna Valeria Germinario, Fabio Giannoni

Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533058

zbMATH Keywords

Lorentzian manifoldtimelike geodesicsuniverse with boundary

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (1)

A note on the boundary of a static Lorentzian manifold.

Cites Work

• A variational theory for light rays in stably causal Lorentzian manifolds: regularity and multiplicity results
• A timelike extension of Fermat's principle in general relativity and applications
• On the variational principle
• A Fermat principle on Lorentzian manifolds and applications
• On Fermat's principle in general relativity. I. The general case

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