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Type: Artigo de periódico
Title: The Mathematical Structure Of Newtonian Spacetime: Classical Dynamics And Gravitation
Author: Rodrigues Jr. W.A.
de Souza Q.A.G.
Bozhkov Y.
Abstract: We give a precise and modern mathematical characterization of the Newtonian spacetime structure (ℕ). Our formulation clarifies the concepts of absolute space, Newton's relative spaces, and absolute time. The concept of reference frames (which are "timelike" vector fields on ℕ) plays a fundamental role in our approach, and the classification of all possible reference frames on ℕ is investigated in detail. We succeed in identifying a Lorentzian structure on ℕ and we study the classical electrodynamics of Maxwell and Lorentz relative to this structure, obtaining the important result that there exists only one intrinsic generalization of the Lorentz force law which is compatible with Maxwell equations. This is at variance with other proposed intrinsic generalizations of the Lorentz force law appearing in the literature. We present also a formulation of Newtonian gravitational theory as a curve spacetime theory and discuss its meaning. © 1995 Plenum Publishing Corporation.
Editor: Kluwer Academic Publishers-Plenum Publishers
Rights: fechado
Identifier DOI: 10.1007/BF02080568
Date Issue: 1995
Appears in Collections:Unicamp - Artigos e Outros Documentos

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