Light cones in Finsler spacetime

DOI10.1007/S00220-014-2215-6zbMath1310.83007arXiv1403.7060OpenAlexW2046624717MaRDI QIDQ2258035

Ettore Minguzzi

Publication date: 2 March 2015

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

Full work available at URL: https://arxiv.org/abs/1403.7060

zbMATH Keywords

triangle inequalityLorentz-Minkowski spacesCauchy-Schwarz inequalitylight conesLegendre mapFinsler spacetime

Mathematics Subject Classification ID

Special relativity (83A05) Equations of motion in general relativity and gravitational theory (83C10) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Euclidean geometries (general) and generalizations (51M05)

Related Items (27)

Geometry of weighted Lorentz–Finsler manifolds II: A splitting theorem ⋮ Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range ⋮ Electromagnetic and gravitational interactions from Lagrangian mechanics ⋮ Mathematical foundations for field theories on Finsler spacetimes ⋮ Volume comparison theorems in Finsler spacetimes ⋮ Axiomatic Thinking in Physics—Essence or Useless Ornament? ⋮ Theoretical analysis on the Rényi holographic dark energy in the Finsler–Randers cosmology ⋮ An equivalence of Finslerian relativistic theories ⋮ A variational setting for an indefinite Lagrangian with an affine Noether charge ⋮ The conformal transformation of the night sky ⋮ The fundamental equations of a pseudo-Finsler submersion ⋮ Kinetic gases in static spherically symmetric modified dispersion relations ⋮ Finsler–Randers cosmology: dynamical analysis and growth of matter perturbations ⋮ Finsler geometry as a model for relativistic gravity ⋮ Convex neighborhoods for Lipschitz connections and sprays ⋮ Volume forms for time orientable Finsler spacetimes ⋮ Special coordinate systems in pseudo-Finsler geometry and the equivalence principle ⋮ A divergence theorem for pseudo-Finsler spaces ⋮ Affine sphere relativity ⋮ Penrose’s singularity theorem in a Finsler spacetime ⋮ Geometry of weighted Lorentz–Finsler manifolds I: singularity theorems ⋮ On the definition and examples of cones and Finsler spacetimes ⋮ Causality theory for closed cone structures with applications ⋮ Inequalities from Lorentz-Finsler norms ⋮ Timelike Hilbert and Funk geometries ⋮ On Finsler spacetimes with a timelike Killing vector field ⋮ Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gravity as a Finslerian metric phenomenon
• Convex neighborhoods for Lipschitz connections and sprays
• Finsler geometry, relativity and gauge theories
• Characterizing Finsler spaces which are pseudo-Riemannian of constant curvature
• A Finsler generalisation of Einstein's vacuum field equations
• Finsler geometric perspective on the bulk flow in the universe
• Fermat principle in Finsler spacetimes
• Relativistic Finsler geometry
• On Fermat's principle for causal curves in time oriented Finsler spacetimes
• Finsler metrics and relativistic spacetimes
• On smooth time functions
• Note on Finslerian relativity
• Connections, Sprays and Finsler Structures
• Indefinite Finsler Spaces and Timelike Spaces
• The Large Scale Structure of Space-Time

This page was built for publication: Light cones in Finsler spacetime