Bipartite-Finsler symmetries
arXiv:1907.11214 · doi:10.1016/j.physletb.2019.135009
Abstract
In this work, we study the symmetries of a Lorentz violating bipartite-Finsler spacetime. By using the Finslerian Killing equation for the bipartite-Finsler metric, we analyze how the anisotropy of the bipartite spacetime modifies the local Lorentz symmetries. The symmetries of the Finsler metric allow us to obtain the bipartite algebra and interpreted it as a deformed Lorentz algebra. Causality effects driven by the particle modified dispersion relations are investigated upon Minkowski and the Schwarzschild spacetimes. The background bipartite tensor yields to superluminal velocities and modifies the effective gravitational potential.
arXiv comment15 pages, 2 figures. Small modifications in the text to match the accepted version in Physics Letters B
References in corpus (41)
- Quantum Gravity at a Lifshitz Point
- Lorentz-Violating Extension of the Standard Model
- CPT Violation and the Standard Model
- Gravity, Lorentz Violation, and the Standard Model
- Lorentz invariance with an invariant energy scale
- Noncommutative Field Theory and Lorentz Violation
- Stability, Causality, and Lorentz and CPT Violation
- Quantum gravity corrections to neutrino propagation
- Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
- Very Special Relativity
- Loop quantum gravity and light propagation
- Lorentz and CPT Violation in Neutrinos
- General Very Special Relativity is Finsler Geometry
- Planck-scale modified dispersion relations and Finsler geometry
- Riemann-Finsler geometry and Lorentz-violating kinematics
- Sensitivity of CPT Tests with Neutral Mesons
- Finsler geometric extension of Einstein gravity
- The General Very Special Relativity in Finsler Cosmology
- Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry
- Bipartite Riemann-Finsler geometry and Lorentz violation
- Causal structure and electrodynamics on Finsler spacetimes
- Classical kinematics for Lorentz violation
- Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
- Modified Newton's gravity in Finsler Space as a possible alternative to dark matter hypothesis
- Graphene and the Zermelo Optical Metric of the BTZ Black Hole
- Observable effects in a class of spherically symmetric static Finsler spacetimes
- Classical-physics applications for Finsler space
- Finsler-like structures from Lorentz-breaking classical particles
- Cosmological implications of Bumblebee vector models
- Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
- Modified Friedmann model in Randers-Finsler space of approximate Berwald type as a possible alternative to dark energy hypothesis
- Lorentz Invariance Violation and Symmetry in Randers--Finsler Spaces
- Classical Lagrangians for Momentum Dependent Lorentz Violation
- Radiative corrections in bumblebee electrodynamics
- Concerning the generalized Lorentz symmetry and the generalization of the Dirac equation
- Kinematics and dynamics in a Bipartite-Finsler spacetime
- Finsler Branes and Quantum Gravity Phenomenology with Lorentz Symmetry Violations
- Eikonal approximation, Finsler structures, and implications for Lorentz-violating photons in weak gravitational fields
- Classical kinematics for isotropic, minimal Lorentz-violating fermion operators
- Dirac equation in very special relativity for hydrogen atom
- A possible scenario of the Pioneer anomaly in the framework of Finsler geometry
Cited by in corpus (14)
- Black holes with a cosmological constant in bumblebee gravity
- Backgrounds in gravitational effective field theory
- Hamiltonian formulation of an effective modified gravity with nondynamical background fields
- Searches for beyond-Riemann gravity
- Lorentz-violation-induced arrival time delay of astroparticles in Finsler spacetime
- A field theory in Randers-Finsler spacetime
- Kasner cosmology in bumblebee gravity
- Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model Extension at higher orders in Lorentz violation
- Lorentz and CPT Violation in Partons
- Physical interpretation of large Lorentz violation via Weyl semimetals
- Nonperturbative Lorentz Violation and Field Quantization
- Lorentz Violation in Finsler Geometry
- Trajectories of astroparticles in pseudo-Finsler spacetime with the most general modified dispersion
- Characteristic tensors for almost Finsler manifolds