Finsler geometry as a model for relativistic gravity

2018/06/17 by Claus Lämmerzahl, Cláus Lämmerzahl, Volker Perlick · 4 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Noncommutative and Quantum Gravity Theories #Cosmology and Gravitation Theories

paper · doi:10.1142/s0219887818501669

Abstract

We give an overview on the status and on the perspectives of Finsler gravity, beginning with a discussion of various motivations for considering a Finslerian modification of General Relativity. The subjects covered include Finslerian versions of Maxwell’s equations, of the Klein–Gordon equation and of the Dirac equation, and several experimental tests of Finsler gravity.

Citations

• Confronting Finsler space–time with experiment
• Indefinite Finsler Spaces and Timelike Spaces

Cited by

• Quantum gravity phenomenology at the dawn of the multi-messenger era—A review
• Renormalized Energy and Vortex Interaction in Finsler Ginzburg-Landau Models
• Characteristic tensors for almost Finsler manifolds
• On the pseudo-Riemann's quartics in Finsler's geometry

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• Finsler spacetimes and gravity
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• DISIMb(2) Local Relativistic Symmetry and Finslerian Extension of the Theory of Relativity
• On the foundations and applications of Lorentz-Finsler Geometry