2002/04/01 by Sawa Manoff, Manoff, Sawa
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Elasticity and Material Modeling #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0204003
23 pages, LaTeX
arxiv created 2002/04/01 · openalex publication_date 2002/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Basic notions of continuous media mechanics are introduced for spaces with affine connections and metrics. The physical interpretation of the notion of relative acceleration is discussed. The notions of deformation acceleration, shear acceleration, rotation (vortex) acceleration, and expansion acceleration are introduced. Their corresponding notions, generated by the torsion and curvature, are considered. A classification is proposed for auto-parallel vector fields with different kinematic characteristics. Relations between the kinematic characteristics of the relative acceleration and these of the relative velocity are found. A summary of the introduced and considered notions is given. A classification is proposed related to the kinematic characteristics of the relative velocity and the kinematic characteristics related to the relative acceleration. PACS numbers: 11.10.-z; 11.10.Ef; 7.10.+g; 47.75.+f; 47.90.+a; 83.10.Bb