RiemannFinsler geometry and Lorentzviolating kinematics
Abstract
Effective field theories with explicit Lorentz violation are intimately linked to RiemannFinsler geometry. The quadratic singlefermion restriction of the StandardModel Extension provides a rich source of pseudoRiemannFinsler spacetimes and RiemannFinsler spaces. An example is presented that is constructed from a 1form coefficient and has Finsler structure complementary to the Randers structure.
 Publication:

Physics Letters B
 Pub Date:
 June 2011
 DOI:
 10.1016/j.physletb.2011.05.041
 arXiv:
 arXiv:1104.5488
 Bibcode:
 2011PhLB..701..137K
 Keywords:

 Lorentz violation;
 CPT violation;
 Finsler geometry;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology;
 Mathematics  Differential Geometry
 EPrint:
 19 pages