Penrose’s singularity theorem in a Finsler spacetime

DOI10.1088/0264-9381/33/2/025003zbMath1332.83075arXiv1410.7595OpenAlexW2963863749MaRDI QIDQ2787554

Miguel Ángel Javaloyes, Amir Babak Aazami

Publication date: 4 March 2016

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7595

zbMATH Keywords

geodesicsFinsler spacetimesspacetime singularity theorems

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Equations of motion in general relativity and gravitational theory (83C10) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (19)

A semiclassical singularity theorem ⋮ A note on the existence of tubular neighbourhoods on Finsler manifolds and minimization of orthogonal geodesics to a submanifold ⋮ Differential geometric aspects of causal structures ⋮ An equivalence of Finslerian relativistic theories ⋮ A variational setting for an indefinite Lagrangian with an affine Noether charge ⋮ The influence of Penrose's singularity theorem in general relativity ⋮ A General Model for Wildfire Propagation with Wind and Slope ⋮ Myers and Hawking theorems: geometry for the limits of the universe ⋮ Finsler pp-waves and the Penrose limit ⋮ Affine sphere relativity ⋮ Anisotropic conformal invariance of lightlike geodesics in pseudo-Finsler manifolds ⋮ Lorentzian causality theory ⋮ Applications of cone structures to the anisotropic rheonomic Huygens' principle ⋮ Geometry of weighted Lorentz–Finsler manifolds I: singularity theorems ⋮ On the definition and examples of cones and Finsler spacetimes ⋮ On the existence of dual solutions for Lorentzian cost functions ⋮ Inequalities from Lorentz-Finsler norms ⋮ On Finsler spacetimes with a timelike Killing vector field ⋮ Lightlike hypersurfaces and time-minimizing geodesics in cone structures

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