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. We obtain the new modified
dispersion relations and the geodesic equation for a massive particle.
For a weak directional-dependence we find the dynamical and interaction
terms analogous to the gravitational sector of the Standard Model
Extension. (C) 2014 The Authors. Published by Elsevier B.V. This is an
open access article under the CC BY license
(http://creativecommonsorg/licensesiby/3.0/).
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