Lorentz-violation-induced arrival time delay of astroparticles in Finsler spacetime
Jie Zhu, Bo-Qiang Ma
Abstract
Finsler geometry is a natural and fundamental generalization of Riemann geometry. The Finsler structure depends on both coordinates and velocities. We present the arrival time delay of astroparticles subject to Lorentz violation in the framework of Finsler geometry, and the result corresponds to that derived by Jacob and Piran in the standard model of cosmology.
Topics & Concepts
Lorentz transformationFinsler manifoldGeneralizationSpacetimePhysicsRiemann hypothesisClassical mechanicsGeometryMathematical physicsMathematicsMathematical analysisQuantum mechanicsCurvatureScalar curvatureAdvanced Differential Geometry ResearchNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories