Kinematics and dynamics in a Bipartite-Finsler spacetime
arXiv:1312.7369 · doi:10.1016/j.physletb.2014.02.014
Abstract
We study some properties of a recently proposed local Lorentz Violating Finsler geometry, the so-called Bipartite space. This anisotropic structure deforms the causal null surface to an elliptic cone and provides an anisotropy to the inertia. The modified dispersion relations and the geodesic equation for a massive particle are studied. For a weak directional-dependence we obtain the dynamical and interaction terms analogous to the gravitational sector of the Standard Model Extension.
arXiv comment16 pages, revised to match accepted version in Physics Letters B
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- Constraints on Lorentz violation from gravitational Cherenkov radiation
- Lorentz and CPT tests with hydrogen, antihydrogen, and related systems
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- Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
- Einstein-Hilbert Graviton modes modified by the Lorentz-violating bumblebee Field
- Classical-physics applications for Finsler space
- Finsler-like structures from Lorentz-breaking classical particles
- Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
- Lorentz and CPT Tests with Clock-Comparison Experiments
- Lorentz and CPT Violation in Top-Quark Production and Decay
- Elko and mass dimension one field of spin one half: causality and Fermi statistics
- Standard static Finsler spacetimes
- Eikonal approximation, Finsler structures, and implications for Lorentz-violating photons in weak gravitational fields
- Analysis of birefringence and dispersion effects from spacetime-symmetry breaking in gravitational waves
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- Extended Hamiltonian Formalism and Lorentz-Violating Lagrangians
- Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps
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- Applications of the Schwarzschild-Finsler-Randers model
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- A field theory in Randers-Finsler spacetime
- Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model Extension at higher orders in Lorentz violation
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