2015/12/23 by Josep Llosa, Llosa, Josep · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Control and Dynamics of Mobile Robots #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematics and Applications #gr-qc
paper · pdf · doi:10.48550/arxiv.1512.07465
arXiv admin note: text overlap with arXiv:1507.01201
arxiv created 2015/12/23 · openalex publication_date 2015/12/23 · arxiv updated 2015/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The class of accelerated reference frames has been studied, on the basis of Fermi-Walker coordinates. The infinitesimal transformations connecting two of these frames has been obtained, and also their commutation relations. The outcome is an infinite dimensional extension of the Poincaré algebra. Although this extension turns out to be Abelian, and hence trivial, it is noteworthy that, contrarily to what happens with Lorentz boosts, acceleration boost generators commute with each other and with translation generators.