# Bipartite-Finsler symmetries

## TL;DR

This paper investigates the symmetries of a Lorentz-violating bipartite-Finsler spacetime, revealing how anisotropy deforms Lorentz symmetry and affects causality and gravitational phenomena.

## Contribution

It introduces a method to analyze bipartite-Finsler symmetries using Killing equations, deriving a deformed Lorentz algebra and exploring physical implications.

## Key findings

- Bipartite-Finsler spacetime exhibits Lorentz symmetry deformation.
- Modified dispersion relations lead to superluminal velocities.
- Gravitational potential is altered in the bipartite background.

## 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.