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Doubly Special Relativity and Finsler geometry

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arxiv 0704.1728 v1 pith:WEA7RDMC submitted 2007-04-13 gr-qc

S. Mignemi This is my paper · ORCID
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keywords doublyfinslerrelativityspecialdescriptionformalismgeometryalthough
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We discuss the recent proposal of implementing Doubly Special Relativity in configuration space by means of Finsler geometry. Although this formalism leads to a consistent description of the dynamics of a particle, it does not seem to give a complete description of the physics. In particular, the Finsler line element is not invariant under the deformed Lorentz transformations of Doubly Special Relativity. We study in detail some simple applications of the formalism.

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  1. Wind-Finslerian structure of black holes

    gr-qc 2025-01 accept novelty 5.0 of 10

    The causal structure of black holes, including horizons and interiors, can be encoded in wind-Finsler metrics whose shifted indicatrices track null geodesics.

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