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Bipartite-Finsler symmetries

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arxiv 1907.11214 v2 pith:X6AXYWUJ submitted 2019-07-25 gr-qc hep-th

Bipartite-Finsler symmetries

classification gr-qc hep-th
keywords symmetriesbipartitebipartite-finslerlorentzalgebrametricmodifiesspacetime
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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.

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