Mechanics of Continuous Media in $(\bar{L}_{n},g)$-Spaces. III. Relative Accelerations

dc.creatorManoff, Sawa
dc.date2002-04-01
dc.date.accessioned2026-07-07T03:26:46Z
dc.date.available2026-07-07T03:26:46Z
dc.descriptionBasic 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
dc.description23 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/gr-qc/0204003
dc.identifierhttp://arxiv.org/abs/gr-qc/0204003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34176
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleMechanics of Continuous Media in $(\bar{L}_{n},g)$-Spaces. III. Relative Accelerations
dc.typetext

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