Five-Dimensional Tangent Vectors in Space-Time: III. Some Applications

1998/07/07 by Alexander Krasulin, Krasulin, Alexander
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/9807004

Full version of math-ph/9804011, 12 pages, no figures, LaTex

arxiv created 1998/07/07 · arxiv updated 2009/11/30

Abstract

In this part of the series I show how five-tensors can be used for describing in a coordinate-independent way finite and infinitesimal Poincare transformations in flat space-time. As an illustration, I reformulate the classical mechanics of a perfectly rigid body in terms of the analogs of five-vectors in three-dimensional Euclidean space. I then introduce the notion of the bivector derivative for scalar, four-vector and four-tensor fields in flat space-time and calculate its analog in three-dimensional Euclidean space for the Lagrange function of a system of several point particles in classical nonrelativistic mechanics.

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