RiemannFinsler geometry and Lorentz-violating kinematics

By A. Kostelecky. 2011

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Effective field theories with explicit Lorentz violation are intimately linked to Riemann–Finsler geometry. The quadratic single-fermion restriction of the Standard-Model Extension provides a rich source of pseudo-Riemann–Finsler spacetimes and Riemann–Finsler spaces. An example is presented that is constructed from a 1-form coefficient and has Finsler structure complementary to the Randers structure.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5d9590477b3208b3ea430201d02cd80e0322491e