Finsler pp-waves

Abstract

In this work we present a Finslerian version of the well-known pp-waves, which generalizes the very special relativity (VSR) line element. Our Finsler pp-waves are an exact solution of Finslerian Einstein's equations in vacuum.

10 pages, minor corrections, references added

References in corpus (9)

• Very Special Relativity
• General Very Special Relativity is Finsler Geometry
• The General Very Special Relativity in Finsler Cosmology
• Friedmann Robertson-Walker model in generalised metric space-time with weak anisotropy
• Metrics With Vanishing Quantum Corrections
• Higher dimensional VSI spacetimes
• Finsler Spinoptics
• Non-metric fluid dynamics and cosmology on Finsler spacetimes
• Some physical displays of the space anisotropy relevant to the feasibility of its being detected at a laboratory

Cited by in corpus (36)

• Finsler spacetime geometry in Physics
• On the definition and examples of cones and Finsler spacetimes
• Geodesics and the magnitude-redshift relation on cosmologically symmetric Finsler spacetimes
• Berwald spacetimes and very special relativity
• Mathematical foundations for field theories on Finsler spacetimes
• Foundations of Finsler spacetimes from the Observers' Viewpoint
• Schwarzschild-like solutions in Finsler-Randers gravity
• Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
• On Finsler spacetimes with a timelike Killing vector field
• Geodesic motion in Bogoslovsky-Finsler Spacetimes
• On the analyticity of static solutions of a field equation in Finsler gravity
• Applications of the Schwarzschild-Finsler-Randers model
• Schwarzschild-Finsler-Randers spacetime: Dynamical analysis, Geodesics and Deflection Angle
• On singular generalized Berwald spacetimes and the equivalence principle
• Randers pp-waves
• Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations
• Finsler gravitational waves of $(\alpha ,\beta )$-type and their observational signature
• A Cosmological Unicorn Solution to Finsler Gravity
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• The Einstein-Hilbert-Palatini formalism in Pseudo-Finsler Geometry
• On the metrizability of $m$-Kropina spaces with closed null 1-form
• Ehlers-Kundt Conjecture about Gravitational Waves and Dynamical Systems
• Geometry of weighted Lorentz-Finsler manifolds II: A splitting theorem
• Cosmological Landsberg Finsler spacetimes
• Pseudo-Finsler spaces modeled on a pseudo-Minkowski space
• Revisiting Legendre transformations in Finsler geometry
• On the significance of the stress-energy tensor in Finsler spacetimes
• Hidden Symmetries in Deformed Very Special Relativity
• Berwald $m$-Kropina Spaces of Arbitrary Signature: Metrizability and Ricci-Flatness
• Birkhoff Theorem for Berwald Finsler spacetimes
• On axiomatic formulation of gravity and matter field theories with MDRs and Finsler-Lagrange-Hamilton geometry on (co)tangent Lorentz bundles
• Classical and quantum analysis of 3D electromagnetic pp-wave spacetime
• General off-diagonal integrability of metric and nonmetric geometric flow and Finsler-Lagrange-Hamilton modified Einstein equations
• Fixed energy solutions to the Euler-Lagrange equations of an indefinite Lagrangian with affine Noether charge
• Particle motion and scattering in Finslerian Schwarzschild metric
• Finslerian geometrodynamics