2016/02/23 by J. E. G. Silva, Silva, J. E. G. · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1602.07345
28 pages
arxiv created 2016/02/23 · openalex publication_date 2016/02/23 · arxiv updated 2016/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the symmetries of the Lorentz violating Randers-Finsler spacetime. The privileged frame defined by the background vector diagonalises the deformed mass-shell and provides an anisotropic observer transformations. The particle Randers transformations are achieved through the Finslerian Killing equation which also shows the equivalence between observer and particle Randers transformation. For a constant background vector, the Randers transformations can be regarded as a deformed directional-dependent Poincaré transformation. The Randers algebra is a deformed Poincaré algebra whose structure coefficients are given by the Randers metric. We propose a field theory invariant over the Randers transformations. The dynamics exhibits nonlocal operators which yields to Lorentz violating terms of the nonminimal SME. The relation and implications of the Randers algebra with other Lorentz violating theories are discussed.